(2^13 + 2^13)^(1/2) =

Question

\sqrt{2^{13} + 2^{13}}  =

(A)  2^{52}

(B)  2^{39}

(C)  2^{13}

(d)  2^9

(E)  2^7

Bunuel · Answer

\sqrt{2^{13} + 2^{13}}=\sqrt{2*2^{13}}=\sqrt{2^{14}}=2^7 .

Answer: E.

AnirudhaS · Answer

\sqrt{2^{13} + 2^{13}} 
= \sqrt{2.2^{13}} 
= \sqrt{2^{14}} 
= \sqrt{(2^7)^2} 
= 2^7  (answer)

EgmatQuantExpert · Answer

Solution

To find  
We need to determine
 • The value of the given expression  \sqrt{2^{13} + 2^{13}}

Approach and Working out  
 2^{13} + 2^{13} = 2 * 2^{13} = 2^{14} 
Hence, value of the given expression  (2^{14})^{0.5} = 2^7

Thus, option E is the correct answer.

Correct Answer: Option E

ScottTargetTestPrep · Answer

First, we factor the common 2^13 from each term and then simplify the result:
√(2^13 + 2^13) = √  = √  = √(2^14) = 2^7.

Answer: E

TheNightKing · Answer

\sqrt{2^{13} + 2^{13}}

Take 2^13 common.  \sqrt{2^{13}*(1+1)}

We get 2^14 inside the square root.

Answer 2^7

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