What is the value of ((64)^(1/2)))^(1/2)?

Question

What is the value of  \sqrt{\sqrt{64}} ?

A.  2\sqrt{2}

B. 4

C.  4\sqrt{2}

D. 16

E. 32

chetan2u · Answer

\sqrt{\sqrt{64}} = \sqrt{\sqrt{8^2}} = \sqrt{8}=\sqrt{2^2*2}=2\sqrt{2}

A

Andruida · Answer

64 = 2^6

\sqrt{\sqrt{64}}=((64)^{\frac{1}{2}})^{\frac{1}{2}}=(2^{6})^{\frac{1}{4}}=(2)^{\frac{6}{4}}=(2)^{\frac{3}{2}}=\sqrt{2^{2} * 2} = 2\sqrt{2}

Alternative A

KSBGC · Answer

Given,

\sqrt{\sqrt{64}}

= \sqrt{8}

=2 \sqrt{2}

Note:

64 = 8^2

8 =  2^2 *2

Thus the best answer is A.

Abhishek009 · Answer

\sqrt{\sqrt{64}}

Or,  \sqrt{8}

Or,  2\sqrt{2} , Answer must be (A)

ap112 · Answer

√√64 
= √8 
= √4 * √2 
= 2 * √2
= 2√2

Prep Toolkit