What happens if you square root -1 on different calculators?

[@olivia_am3230]

That’s not sqrt! 1:29

[@World_of_OSes]

Yes it is

[@olivia_am3230]

On my Calculator. those are two different buttons so there are two different things

[@World_of_OSes]

​@@olivia_am3230 Are you sure the other one isn't nth root?

[@familiamarquez3219]

​@@olivia_am3230 look at the radical index,it is a 2,so it's a square root

[@World_of_OSes]

@@familiamarquez3219 I think maybe they don't understand that the "root" function takes two parameters, and that "square root" is just the "root" function with one of the parameters set to 2. They probably think that "square root" is just a single function that takes one parameter. "square root" to "root" is like "half" is to "divide".

[@Juli-zy4ew]

Wow, so many calculators lack imagination.

[@asheep7797]

Well, if you add things that they do know, it just becomes complex.

[@C-Midori]

that’s one way to say it

[@Pearking_]

@@asheep7797 get real

[@slamopfpnoobneverunsub5362]

@@Pearking_ get rational

[@justblue425]

69th like

[@b33bo93]

In c#, you can calculate the square root of a negative number like this: using System.Numerics; Console.WriteLine(Complex.Sqrt(-1)); It gives the result of (0, 1) because the first number means the real part and the second number is the imaginary part

[@Gameplayer55055]

Same with python

[@elweewutroone]

Complex plane

[@fishcanroll0]

i didn't knew that c# does calculate complex numbers maybe only works with new versions

[@b33bo93]

@@fishcanroll0 you have to use a special type inside of system.numerics

[@Voiding210]

So 0,1i or 0,i

[@groszak1]

Scratch 3.0 DOES have sqrt, you have to change the abs in the dropdown

[@Danidanijr]

True

[@serascratch1028]

Scratch = NaN

[@TidalWaveRBLX69]

in older versions i see sqrt is real block

[@xpbm6alt]

True, Scratch is NaN when sqrt -1

[@World_of_OSes]

kzbin.info/www/bejne/jJ-kgXiPh7R9bs0

[@mini_bomba]

I love the effort the Gnome Calculator makes to be correct, shown both by this video and the division by zero video. When other calculators just give up and say "Invalid input", "Not a number" or "Error", the Gnome calculator does not disappoint and gives basically the best answer you could ever ask a calculator to give, like "Division by zero is undefined" for division by zero, or the imaginary number for square root of -1. This is why I absolutely love the Gnome Calculator and prefer it over any other calculator application. I only wish KDE Plasma had such a great calculator application, but thankfully I can install Gnome Calculator while using KDE Plasma. I use Arch btw

[@Gameplayer55055]

Hm, what will it say about sqrt of -16? Will it reply 4i?

[@World_of_OSes]

@@Gameplayer55055 Yes it will

[@frecio231]

Well, actually if you think about it the windows 95 calculator gives a right answer to the problem, because the sqrt(-1) is NOT defined in the real numbers, (any other answer is wrong if the calculator only works on ℝ). If you think about it 1/2 is not defined in ℕ, even thought is defined in ℚ, but at the same time π is not defined in ℚ while is defined in ℝ, so "Result of function is not defined" IS a correct answer if you expect the calculator to be working only in ℝ and not in ℂ as you would expect if you asked a calculator that only works in ℕ what is 1/2 it would say "Result of function is not defined". I know that's not what anyone expects from a calculator, but it doesn't mean is a wrong answer for the set.

[@frecio231]

After a couple seconds of thinking NaN could be consider as a right answer, because i is Not a Number in ℝ

[@mini_bomba]

@@frecio231 To me (a programmer), telling user simply NaN as a result of their calculation seems like the program is calling some method of it's libraries and giving the answer from them to the user, without any real thought or further processing. I admire the efforts of programs, which help the user learn about what went wrong, such as expanding the NaN answer to something like "Division by zero is not defined" (or maybe "Square roots of negative numbers have no real values" in this case), and even highlighting the part of the formula which caused the error. That's what the Gnome Calculator (in scientific mode) does and that's why I love it.

[@World_of_OSes]

Remember the Android app menu button?

[@SearInMinecraft]

Yeah. I had an android 2.3 phone with physical buttons

[@raaymonf]

Yes.

[@quanubg]

Yes. It looks like a house

[@randomgamer6290]

Yes

[@indepth6mobile-official]

Yes, Android 4.4 has it

[@Titanic4]

In Scratch you can select the last operator while setting the dropdown box of it to sqrt. Also, on Byob, you have forgot to add the stop block.

[@World_of_OSes]

kzbin.info/www/bejne/jJ-kgXiPh7R9bs0

[@joaozin003]

And BYOB is just old Snap

[@malwaretestingfan]

Gnome Calculator and the classic Texas Instrument one were the best ones. Also, you forgot that Python and the other languages are also capable of that by using complex number functions.

[@World_of_OSes]

Yes, they can, can't they?

[@m_affiliates]

Ctgkcalc also

[@leventemolnar6818]

import cmath cmath.sqrt(-1)

[@Detective_Lynne]

In scratch, use ( [ abs v ] of ( ) ) You can change abs by square root in it

[@Estegosaurio]

thats what i did to see!

[@World_of_OSes]

kzbin.info/www/bejne/jJ-kgXiPh7R9bs0

[@notthatntg]

Scratch does have sqrt. It's in the dropdown of the abs() block.

[@World_of_OSes]

I'm not familiar with modern versions of Scratch, I haven't done drag-and-drop programming since like 2014 using BYOB.

[@tatianabasileus]

@@World_of_OSes Could've looked it up you know?

[@World_of_OSes]

kzbin.info/www/bejne/jJ-kgXiPh7R9bs0

[@spudhead169]

A lot of languages have complex libraries and you can do Complex.Pow(-1, 0.5) or something similar to get the correct principle result.

[@World_of_OSes]

When I showed Scratch in this video, I didn't realize that you had to change the abs drop-down to sqrt, so I thought that Scratch 3.26.0 didn't have square root. This is what happens if you sqrt -1 on Scratch 3.26.0: kzbin.info/www/bejne/jJ-kgXiPh7R9bs0

[@venetziagajardo7376]

i

the awnser of √-1 is equals to a new number call 'i'

[@Star-hs9fv]

Actually, you need set scientific calculator to complex mode, it will show ' i ' replace error message.

[@Cooliooo_7888]

the answer is 1i because i is a imaginary number even though i Dosen’t exist you can still use multiplication and addition

[@World_of_OSes]

@OTDF Playz / GD BFDIPinLMAO Did you actually read the comment?

[@kellesonekellesonekelleson2405]

Complex: sqrt of -1 equals _i_ Real: sqrt of -1 equals 0

[@kellesonekellesonekelleson2405]

Complex: 1:54 Real: 2:40

[@groszak1]

In some Android calculators √-1 is an Error but (√-1)² is -1.

[@grandeotos]

Bc the imaginary number rules i⁰ = 1 i¹ = √(-1) = i i² = (√(-1))² = -1 i³ = i² * i = -1 * I = -i And so on ... And so on...

[@grandeotos]

That's why m8

[@elchile336]

@@grandeotos You're missing: i^4 = i^2 × i^2 = -1 × -1 = 1 i^5 = i^4 × i = 1 × i = i i^6 = i^4 × i^2 = 1 × -1 = -1 i^7 = i^4 × i^3 = 1 × (i^2 × i) = 1 × (-1 × i) = 1 × -i = -i i^8 = i^4 × i^4 = 1 × 1 = 1 i^9 = i^8 × i = 1 × i = i And so on... So, the pattern is: i, -1, -i, 1, i, -1, -i, 1, i,...

[@asheep7797]

It cancels out before calculation, I guess,

[@petterlarsson7257]

*i*

[@Moviesxp]

When you sqrt by -1 on scratch, it says NaN. And if you sqrt by -1 in theCalculator in theShell, it says Invalid Syntax [ERROR!]

[@Estegosaurio]

what about scratch 1.4

[@notthatntg]

@@Estegosaurio Red outline around the script with sqrt(-1).

[@Estegosaurio]

​@@notthatntg yeah, i did that

[@World_of_OSes]

Same as BYOB (BYOB is based off-of an old version of Scratch)

[@vieilatome2257]

I love how there is only GNOME calculator that answers i

[@haleysettembre]

And Android scientific calculator

[@victorpaesplinio2865]

Cgtkcalc gives the correct result in its own way. Notice it has the real and imaginary part inputs for the number

[@World_of_OSes]

@@victorpaesplinio2865 What does the arg 1.5707963 rad mean?

[@victorpaesplinio2865]

@@World_of_OSes it is the polar angle. In this case it is pi/2 radians. There are many ways to represent a complex number. The common one is the Cartesian. You can write z=4+3i, for example. The real part is 4 and the imaginary is 3. Another way is the polar form. We can imagine the numbers as vectors, or arrows starting in the origin and pointing towards the number. You tell the magnitude of the number ("abs") and the angle this arrow forms with the real axis, which is the "arg" part. For the number z=4+3i the magnitude is Sqrt(4²+3²) = 5 The arg is approximately 0.643 radians. The number sqrt(-1) is the imaginary unit. In Cartesian form you write z=1+1i. In polar form, you have the magnitude, which is 1, and the angle, which is pi/2 radians.

[@waynelin5604]

Scratch has an sqrt. You can find it in the dropdown.

[@World_of_OSes]

kzbin.info/www/bejne/jJ-kgXiPh7R9bs0

[@doomies666]

@@World_of_OSesrrr

[@C.Ezra.M]

In Python, the ** operator can calculate roots. One just needs to raise the number to the exponent equal to 1 divided by the root degree. To stay on topic, (-1)**0.5 = (6.123233995736766e-17+1j). This means a complex number with real part 6.123233995736766e-17 and 1 imaginary unit. Conversely, 1j**2 = (-1+0j). (In Python, _j_ indicates the imaginary part.)

[@scratchthecatqwerty9420]

The floating point precision. Needs to be 0, calculates to be 6.12e-17.

[@BurrritoYT]

The way so many computations simply refuse to round off is mildly infuriating and often a serious problem in debugging

[@SelfMadeSystem]

You can make python use sqrt by using cmath or another complex number library instead of the real number math library.

[@vieilatome2257]

... Did you really write "scr" in the tag ?

[@TidalWaveRBLX69]

no no no sus

[@World_of_OSes]

I made a typo

[@thentertaineronyoutube]

​@@TidalWaveRBLX69 UR sus

[@2MinutesScienceChannel]

In Scratch, the abs block has a drop-down for "sqrt", which results in NaN, there is square root, in fact, it has everything like cosine, sine and basically all you need to build for a calculator.

[@nosheenmajeed9761]

Siri: it is the imaginary unit _i_

[@qubane]

What've gone wrong with Scratch? There is a sqrt function, it's in *abs of __* drop list. It'll give NaN as a result.

[@venetziagajardo7376]

It should be 1i

[@World_of_OSes]

kzbin.info/www/bejne/jJ-kgXiPh7R9bs0

[@b33bo93]

In scratch you have to click the drop-down on the block that has a drop-down and select square root It's the bottom of operators

[@megamanfan3]

2:25 Thanks a lot, SGI

[@floppy8568]

the ubuntu calculator, Scientific Calculator android app and the cgtcalc actually know the right answer!

[@bresent]

in C, the square root of -1 is 0 #include #include int main() { int n = -1; printf("%d", sqrt(n)); }

[@captive8670]

Every calculator : wtf is this number GNOME Calculator : Complex number, a simple thing not for you mortal calculator

[@markusTegelane]

my scientific calculator says "Math Error", which I think is equivalent to "Error 2"

[@Star-hs9fv]

Actually, you need set scientific calculator to complex mode, it will show ' i ' replace error message.

[@SzymekCSC]

2:40 Cgtkcalc has four boxes because of complex calculations. For example, "real 0 imag 1 abs 1 arg 90 deg" means 0+1i or 1 /̲ 90°.

[@TehRussianLogoEditorSecond]

sqrt(-1)= 0?

[@SzymekCSC]

@@TehRussianLogoEditorSecond i

[@starlii10]

For Scratch, bring out the "abs of ()" block and change it from abs to sqrt then input -1, add when green flag clicked and you're done

[@NowNormal]

It's abs of () *number* actually, and take the say block and put it in it

[@TidalWaveRBLX69]

use say block to make sprite say the answer

[@World_of_OSes]

kzbin.info/www/bejne/jJ-kgXiPh7R9bs0

[@cfsmart]

5:47 Scratch: say sqrt of -1 and display "NaN".

[@World_of_OSes]

kzbin.info/www/bejne/jJ-kgXiPh7R9bs0

[@LePhenixGD]

I was expecting to at least show the imaginary numbers to be mentioned in these calculators

[@World_of_OSes]

1:58

[@ronsku57]

Isnt sqrt-1=i? And sqrt-9=i3

[@TidalWaveRBLX69]

sqrt -1 = nan

[@windowsmercurySP11]

inverted sqrt(-9) actually:sqrt(-9)=3i

[@ronsku57]

@@windowsmercurySP11 yeah

[@billythewarlus]

merry Christmas including calculators

[@leannv3]

Every calculator: error GNOME: i

[@oosha2000]

It has imaginary number turned on which also explains the i.

[@_qwaty_]

5:57 use drop down to change (abs v) of (...) to (sqrt v) of (...) awnser: NaN

[@World_of_OSes]

kzbin.info/www/bejne/jJ-kgXiPh7R9bs0

[@zigaudrey]

Calculators be like: NaN! 1:51 3:19 Only two calculators give the _i_ result. 5:47 Not Scratch! Starting v2, it has a Square Root.

[@lilmarionscorner]

The only reason it gives i is because √-1 is defined to be i.

[@LobotomyInTheHole]

I have a third party calculator on my phone and it gives i

[@jetandalyssyagelpidelena6154]

0:00 3:36

[@ZheiYJFamily]

Scratch does have square root! Its in the "abs of _" part. Abs(absolute value) is a drag down menu and has sqrt!

[@FocusLRHAP]

In Excel sqrt(-1) results in 0 so it gets the #NUM! error.

[@kirilvelinov7774]

When a video is oo:sqrt(-1):sqrt(-1) hours long! Infinity:NaN:NaN

[@apple_ilev5s]

5:47 in scratch u can actually get a sqrt block by replacing abs in the [abs] of () to sqrt and it shows up NaN

[@World_of_OSes]

kzbin.info/www/bejne/jJ-kgXiPh7R9bs0

[@serenasamborski6856]

Oh dang that is an old school version of Game Maker!!

[@World_of_OSes]

The child windows still have the Windows 7 Basic theme.

[@World_of_OSes]

kzbin.info/www/bejne/hqO8ZKSencuffpY

[@pxqy]

In scratch, there is a way to get Square Roots. It's a part of a menu in an Operator Block.

[@ZantsuRocks]

Gnome calculator

[@windowscailsto3275]

Square root of -1= can’t show a undefined result

[@Днотвича-п5м]

In Python you can use "**0.5" and you can see a complex number.

[@redcrewmate1813]

5:57 go to the abs of block drop down menu and choose sqrt

[@World_of_OSes]

kzbin.info/www/bejne/jJ-kgXiPh7R9bs0

[@razzer64bits]

If I were to build a calculator and someone tried to do something impossible like dividing something by zero, I would make the calculator show errors but in a more fun way.

[@just-a-fnf-fan]

Error: That would cause a Blackhole.

[@johnrickard8512]

When the TI-85 showed up, I knew that one would show off its primitive but effective imaginary number capabilities. For a product of 1992 that thing is crammed full of features, all running on the venerable 6mhz Zilog Z80!

[@stephan6743]

isnt sqrt -1 a imaginary number

[@B58-Minecraft]

Yes, but old calculators aren't designed to calculate that

[@wiktorthecoolguy-official]

sqrt -1 in scratch will show NaN and scratch has a sqrt in the block that has the abs of ( ) block but you can swith it into sqrt

[@trigonometrygenius]

Other OS: Not defined CGTK OS: An Imaginary Number 😂😂😂

[@trigonometrygenius]

See 2:36

[@temmie3325]

Try calculating -1 ** 0.5 in different languages, it's the same as math.sqrt(x)

[@MrRare2]

2:48 This is exactly what my calculator looks like *nice*

[@MaxwellCatAlphonk]

In scratch, pick the Abs of block, and swith it to SQRT

[@TeelyTao]

Modern Scratch does have sqrt - just click the abs then select sqrt

[@World_of_OSes]

kzbin.info/www/bejne/jJ-kgXiPh7R9bs0

[@teonnaadams6660]

Merry Christmas ho ho ho!!!

[@RealUniCat]

At 7:10, you misspelled "Not" (Mac OS calculator)

[@doomies666]

Next: Cube root of -1

[@MelihGMC2]

what happens if you 0⁰ in different calculators

[@World_of_OSes]

kzbin.info/www/bejne/eHOoq4uZgc6MiKc

[@SasamuelTheCool]

On my calculator it literally says. "Keep it real"

[@SzymekCSC]

0:22 What will happen if you do this in complex mode?

[@craftytime655]

In scratch, the (abs of ()) block has a scroll feature and you can find(sqrt of ()). But it just says NaN.

[@World_of_OSes]

kzbin.info/www/bejne/jJ-kgXiPh7R9bs0

[@walktroughman1952]

Well, imaginary numbers i and j were made to represent numbers like the square root of -1, so the answer gnome calculator gave was the most correct one

[@dracokinerek]

In python if you do (-1)**0.5 it should be 1.0j Or import cmath; cmath.sqrt(-1) = 1.0j

[@SzymekCSC]

6.123233995736766e-17+1j

[@hhaplrh8071]

1:55 the calculator that knows the square root of -1

[@hhh45798]

I have a calculator in my phone that also knows the square root of -1

[@j0code]

5:57 Use the abs of () block and choose sqrt instead of abs

[@World_of_OSes]

kzbin.info/www/bejne/jJ-kgXiPh7R9bs0

[@pixelatedluisyt]

Making the square root number of a negative number its positive version but negative will just bring you back to the positive number. Basically 1x1 is 1, right? -1x-1 is also 1. So you cant find the solution.

[@petterlarsson7257]

have you heard about *imaginary numbers?*

[@Odswietny]

Should I try it with a $15 calculator for a Nintendo Switch?

[@claudiacarrasco908]

Note: in python, taking the square root of a number without importing math (n**0.5) will give you a different result, which also depends on the version of python.

[@Silliest.goober87]

I'm so confused because I had to learn how to find the square roots of negative numbers in school

[@SigmaRho2922]

A square root of a negative number is the same as a square root of a positive number multiplied by i.

[@0tt0tt0]

You could add speedcrunch to this calculator list

[@diasluah]

My Android calculator says "Keep it real"

[@ambarbando1749]

I will ask you to include Microsoft Math calculator as well.

[@tylnothere8251]

2:46 brah that display is look same like android 5.1 Calculator

[@World_of_OSes]

Phoenix OS is based on Android.

[@Null42x86]

Who would win? 0/0 or √-1?

[@mattheworchard481]

√-1

[@TidalWaveRBLX69]

0÷0

[@operaroblox]

Next up: what happens when you calculate 1,000,000,000 to the 1,000,000,000th power?

[@operaroblox]

This won't work for standard calculators

[@World_of_OSes]

kzbin.info/www/bejne/Z5XMioptmbudfZI

[@Voiding210]

1e+9000000000

[@overpoweredgaming1972]

Actually, guys you know The square root of any negative number is not a real number.

[@johnphilipdelgado5463]

Btw, my android calc said "Can't show undefined result." But in photomath, said "i".

[@jaydenridley4]

How about voice assistant calculator? Siri, Alexa, Google, bixby

[@SaiponathGames]

Google Assistant: Result i.

[@MergeMania-gg4fk]

Doesn't have any square root in deepin calculator.

[@MergeMania-gg4fk]

Here it this: ( ^0.5 )

[@barneylaurance1865]

PHP says NAN for sqrt(-1) or for sqrt(-1.0)

[@NS88MetroSantiago]

√-1 = inf or NaN or ∞

[@WindowsXP_YT]

Everyone: the answer is the imaginary number i

[@World_of_OSes]

1:58

[@AzamMujahidProductions]

@@World_of_OSes i (am) the best number

[@lodowkapredator853]

scratch does have one you just need to pick sqrt instead of abs

[@World_of_OSes]

kzbin.info/www/bejne/jJ-kgXiPh7R9bs0

[@tamaranemethcsenge1253]

Scratch has square root, You have to change the abs of (number) , And you'll find it.

[@World_of_OSes]

kzbin.info/www/bejne/jJ-kgXiPh7R9bs0

[@petterlarsson7257]

yay gnome is actually intelligent

[@wardengamer374]

What does 'i' mean in GNOME Calculator?

[@World_of_OSes]

imaginary

[@Detective_Lynne]

I is specific value It is actually equal to sqrt of -1 It's hard to explain, but if shortly, it nearly breaks usual rules of math

[@World_of_OSes]

@@Detective_Lynne And sqrt(-9) = 3i. Then there are complex numbers which have an imaginary part and a real part. sqrt(i) = 0.707 + 0.707i.

[@notatallbruh2011]

1:17 Windows 8.1 Metro Calcualtor on physical desktop

[@tyuhgjnyoutube9346]

scratch does have sqrt use the drop down menu

[@World_of_OSes]

kzbin.info/www/bejne/jJ-kgXiPh7R9bs0

[@ThreeEy]

For Scratch, use the "abs" block. Switch "abs" to "sqrt". Done

[@World_of_OSes]

kzbin.info/www/bejne/jJ-kgXiPh7R9bs0

[@masonmaplecat]

Tried it on my phone's calculator, got "Keep it real"

[@khaled_hossain]

Gnome Calculator shocked me showing imaginary number.

[@lily_littleangel]

My phone says "Keep it real."

[@KhanhNguyen-jk6gn]

upload video: what happens if you divided 0 by 0 on different calculators

[@World_of_OSes]

Will do

[@Машая-ы1я]

there's a square root - 1 is error

[@tiendungtran2572]

Scratch has square roots! Why did it say no sqrt?