GRE Tips and Tricks | Exponents and Roots

[@GCSEALevelMaths2025]

GREAT WORK SIR GOOD JOB!!

[@shobhitsrivastava8876]

The square root is always positive. It is true that square of 2 and -2 are both equal to 4, but the root of 4 by convention is always taken to be principal square root (positive).

[@epayala]

They also mention that the root of squared a is equal to a. That's not entirely true, it is equal to |a|, so it can take two values a and -a

[@TeyimPila]

There is a mistake here 1:46. He says "Any number raised to the power of zero is zero" but it should be "any number raised to the power of zero is 1, except zero"

[@hailemelekotdemtse3613]

you are right he is completely mistaken though the writings on the screen correctly depict the information.

[@mohamedcristian8972]

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[@daxwestin4216]

@Mohamed Cristian instablaster =)

[@mohamedcristian8972]

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[@mohamedcristian8972]

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[@KaliKali-hv9bt]

Thanks Cory❤❤❤❤❤❤

[@sumedh17]

There is a typo at 5:02 - positive and negative (words) have been switched

[@bobychaudhary3890]

Write

[@saitejagolagani1664]

Yes

[@jonathanconrady1318]

This helped a lot, thank you!

[@siddharth.246]

Please check 1:46 to 1:50. The speaker has mistakenly said that anything to the power zero is zero. And I have another question: Technically 2^3 is NOT multiplying 2 by itself three times. Its two multiplied by itself 2 times. Notice: 2 * 2 * 2. There are only two multiplication signs/operations here. So any number raised to the power another number n is either multiplying the number by itself n-1 times OR multiplying 1 with the base number n times. Think about it: 2^0 = 1. Then 2^0 * 2^3 = 2^(0+3) = 2^3 = 8 The same thing can also be written as 1 * 2^3 = 1 * 2 * 2 * 2 = 16. Here we have three multiplication operations / signs.

[@ogunsadebenjaminadeiyin2729]

Je suis d'accord avec vous

[@siddharth.246]

@@ogunsadebenjaminadeiyin2729 thank you.

[@ishansingh8759]

Sir , please can you suggest me the best book for GRE QUANT

[@sujithreddy5244]

Manhattan 5lb

[@kk28296]

Can you help me out with this √x = 5.1, √y = 4.9, then √x+y = ?

[@karthikkakaraparthy3950]

square on both sides, to get x = (5.1)^2 = 26.01 and y = (4.9)^2 = 24.01, then substitute values of x,y obtained in your question. hope you got my point!

[@rickeylee8296]

Good video but too many mistakes and these errors are really confusing!

[@dimitriadhikary6929]

Hi Prepscholar, a positive number can never have a negative root. It is a big mistake that you are preaching. You have confused solutions of equations to actual roots of numbers.

[@cardiyansane1414]

you are correct but this is an ETS adapted rule, for passing GRE

[@aarushibajaj7657]

This video has several mistakes.

[@DarkFlower015]

I would say there is a big problem here though, it is not true that numbers have a positive and negative root, for example, -1 is not the square root of 1. The big difference is that equations have both solutions, but the number itself only has one root, the positive one always.