If 2^3 = N^(1/2), what is N ?

Question

If  2^3 = \sqrt{N} , what is N ?

(A) 8
(B) 16
(C) 32
(D) 64
(E) 128

CrackverbalGMAT · Answer

By the rule of exponents  (a^m)^n = a^{mn}

Squaring both sides we get  (2^3)^2 = (\sqrt{N})^2

Therefore  N = 2^6 = 64

Option D

Arun Kumar

MHIKER · Answer

2^3 =8 , Which is an integer.

Among the answer choices, we get integers only two options have integers are their squared root; 16, 64.  \sqrt{16}=4, \sqrt{64}=8

The answer is D.

Connect2Shreya · Answer

2 raised to 3 is 8 = Square root of N. Therefore N = 64

Abhishek009 · Answer

\sqrt{N}=8

Or,  N = 64 , Answer will be (D)

MathRevolution · Answer

2^3  is 8.

\sqrt{N} = 8  means sqrt of N should be 8. Hence, N = 64

Answer D

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