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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
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sjuniv32
\(\sqrt{2^{13} + 2^{13}}\) =

(A) \(2^{52}\)

(B) \(2^{39}\)

(C) \(2^{13}\)

(d) \(2^9\)

(E) \(2^7\)

First, we factor the common 2^13 from each term and then simplify the result:
√(2^13 + 2^13) = √[2^13(1 + 1)] = √[2^13(2)] = √(2^14) = 2^7.

Answer: E
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sjuniv32
\(\sqrt{2^{13} + 2^{13}}\) =

(A) \(2^{52}\)

(B) \(2^{39}\)

(C) \(2^{13}\)

(d) \(2^9\)

(E) \(2^7\)

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

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

We get 2^14 inside the square root.

Answer 2^7
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