Square root of (4/7 times 14/3) =? Many don’t get this BASIC concept about Square Roots!

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Пікірлер: 49
@markprange2430
@markprange2430 Жыл бұрын
11:32 The irrational pi or 2pi is sometimes a divisor.
@russelllomando8460
@russelllomando8460 Жыл бұрын
great prob. you simplified WAY easier than i did. thanks for the lesson.
@racerunner2110
@racerunner2110 7 ай бұрын
Dude, you can make equations look simple and solvable. Then you reveal that is not the case unless you know the applicable rules. Then you reveal the rules as you solve the problem. This works for me! You get two tubes of brylcreem for your 50's doo along with 2 plastic combs in case one breaks due to hairspray interference. You are awesome!
@gregwessels7205
@gregwessels7205 Жыл бұрын
Thanks for the lesson, KZbin Math Man.
@MasterofDoom2006
@MasterofDoom2006 Жыл бұрын
I got to the problem solution. I never really understood, why it is necessary to remove a square root out of the denominator, but thanks to your explanation it finally clicked, why this must be done! :)
@thomasmaughan4798
@thomasmaughan4798 Жыл бұрын
Great refresher! Early simplification made a huge difference; I multiplied the numerators and then the denominators giving 56/21 which is correct but not very useful. It simplifies to 8/3.
@johngeverett
@johngeverett Жыл бұрын
I thought sqrt(8/3) was clear enough. What math principle requires you to go any further? Sometimes these math problems are just an exercise in "see how much more clever i am"
@colinmaharaj
@colinmaharaj Жыл бұрын
I went a bit further, so, root of 4 * 2 / 3 is 2 V(2/3) ( I use V as root). Now 2/3 is 0.666 which I approx to 0.64 and the root of that is 0.8 so I go a little further and say 0.805 or something so the answer is 2.805 (I haven't used the calculator yet)
@albertmoore4445
@albertmoore4445 Жыл бұрын
1.633?
@geneloscowski3070
@geneloscowski3070 Жыл бұрын
I've taught advanced math for 42 years. Your method might be correct but there is an easier way to find the final product.
@mylittlepitbull3143
@mylittlepitbull3143 Жыл бұрын
I feel good. Got it fast.
@natalita1528
@natalita1528 Жыл бұрын
I´m becoming addict to these problems
@fredrickeffi2143
@fredrickeffi2143 Жыл бұрын
Even though I failed it am still glad am learning
@jamesharmon4994
@jamesharmon4994 Жыл бұрын
I got two thirds radical 6. 😅
@thenakedtruth0205
@thenakedtruth0205 Жыл бұрын
sqrt of 4/7 x sqrt 14/3 simplified to combined 4/1 X 2/3 ~ sqrt of {8/3}? and i wonder...
@GFlCh
@GFlCh Жыл бұрын
I got: 2 x [√2/3]
@panlomito
@panlomito Жыл бұрын
SQR (8/3) = SQR(6) . 2/3
@johnnyllooddte3415
@johnnyllooddte3415 Жыл бұрын
@mollymam7153
@mollymam7153 Жыл бұрын
2 sqrt 6 divided by 3
@kamilshere9186
@kamilshere9186 Жыл бұрын
2.289
@lamper2
@lamper2 Жыл бұрын
When I went to school, we got NO part credit! it was right or wrong.
@bobcornwell403
@bobcornwell403 Жыл бұрын
I ended up with 2 × (sqrt 2/3).
@mikeburns703
@mikeburns703 Жыл бұрын
I came up with the square root of 8/3.
@lewisreiman8124
@lewisreiman8124 Жыл бұрын
√8/3=1.633
@rustylugnut755
@rustylugnut755 Жыл бұрын
Decimal places in Physics and hand grenades is close enough. But forgetting to rationalize the irrational denominator makes it a complete fail in Math. Bummer. Bad habits have crept into my math over years of engineering.
@rodrodrigues5402
@rodrodrigues5402 Жыл бұрын
In one of these steps you haVe a 7 in the numerator. That is not correct.
@davew.5199
@davew.5199 Жыл бұрын
This doesn't reault in an exact number. So it's not a good challenge.
@ellentronicmistress4969
@ellentronicmistress4969 Жыл бұрын
It's exactly why it is a good challenge: maths isn't always tidy.
@derekborkent2899
@derekborkent2899 Жыл бұрын
The square root of 8/3 = 2.63... in decimals, but your answer of 2 × the square root of 2÷3= .94... did I miss something?
@markprange2430
@markprange2430 Жыл бұрын
They each equal 1.63....
@TheSimCaptain
@TheSimCaptain Жыл бұрын
But apparently, the numerator can contain an irrational number.
@ellentronicmistress4969
@ellentronicmistress4969 Жыл бұрын
@@TheSimCaptain Yes it's considered more acceptable. I think it's a throwback to a time before calculators when it was just easier to work with irrational numbers as numerators rather than denominators. Someone might correct me though.
@RubyAtif
@RubyAtif Жыл бұрын
Please try to shorten the video without cutting the explanation
@josebeltran6394
@josebeltran6394 Жыл бұрын
Why? He explained with plenty of details. I suggest you instead change speed of the video to 1.25X
@kk6aw
@kk6aw Жыл бұрын
1.333333333
@olenfersoi8887
@olenfersoi8887 Жыл бұрын
I agree with others...Why not just take sqrt of (8/3) Answer is 1.63 and less steps than shown.
@ellentronicmistress4969
@ellentronicmistress4969 Жыл бұрын
In a GCSE exam in the UK you'd be expected to know how to express the answer as a fraction with surds. I'm not sure, but I assume that's the point here too?
@tschantz
@tschantz Жыл бұрын
That is how I’d punch it into a calculator, yeah. But technically sqrt(8/3) is in improper form as there’s a square root being applied to the denominator.
@keninnewmexico8763
@keninnewmexico8763 Жыл бұрын
At the 3 minute mark, 4 and 2 are multiplied, after a bunch of begging for subscribers and another 3 minutes, 4 and 2 are separated out.
@StephanBuchin
@StephanBuchin Жыл бұрын
I cut this by half watching his videos at 2x speed 😎
@johnswanson4759
@johnswanson4759 Жыл бұрын
square root of 8/3
@jamesharmon4994
@jamesharmon4994 Жыл бұрын
This equals radical (4 * 2/3). Pull the radical 4 out as 2, leaving 2 * radical (2/3). This is equal to 2 * (radical(2) / radical (3)). This equals (2 * radical (2)) / radical (3). Multiply top and bottom by radical (3) to "rationalize" the denominator gives you (2 * radical(2) * radical (3)) / 3. Then simplify this to (2 * radical (6)) / 3.
@ldewproductions7271
@ldewproductions7271 Жыл бұрын
Square root of 8/3 is 1.633
@harrymatabal8448
@harrymatabal8448 9 ай бұрын
That's your convergebt opinion. Who needs you
@keithschipiour4684
@keithschipiour4684 Жыл бұрын
I am 60 don’t know what the f a square root is and don’t give damn
@thomasmaughan4798
@thomasmaughan4798 Жыл бұрын
Imagine the 7 billion or so people that also do not know and do not care, made a comment to that effect.
@stevenjohnson1143
@stevenjohnson1143 Жыл бұрын
3 times the square root of 2
@kamilshere9186
@kamilshere9186 Жыл бұрын
2.289
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