QuestionJuly 27, 2025

Question 5 of 10 Which radical expressions are equivalent to the exponential expression below? Check all that apply. (13+13)^1/2 A. (13+13)^2 B. 169 C. 26 D. sqrt (13+13) E. sqrt (26)

Question 5 of 10 Which radical expressions are equivalent to the exponential expression below? Check all that apply. (13+13)^1/2 A. (13+13)^2 B. 169 C. 26 D. sqrt (13+13) E. sqrt (26)
Question 5 of 10 Which radical expressions are equivalent to the exponential expression below? Check all that apply. (13+13)^1/2 A. (13+13)^2 B. 169 C. 26 D. sqrt (13+13) E. sqrt (26)

Solution
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Answer

D. \sqrt {13+13} ### E. \sqrt {26} Explanation 1. Simplify the Exponential Expression The expression (13+13)^{1/2} simplifies to \sqrt{26}. 2. Compare with Given Options A. (13+13)^2 is 26^2 = 676, not equivalent. B. 169 is not equivalent to \sqrt{26}. C. 26 is not equivalent to \sqrt{26}. D. \sqrt{13+13} simplifies to \sqrt{26}, which is equivalent. E. \sqrt{26} is directly equivalent.

Explanation

1. Simplify the Exponential Expression<br /> The expression $(13+13)^{1/2}$ simplifies to $\sqrt{26}$.<br /><br />2. Compare with Given Options<br /> A. $(13+13)^2$ is $26^2 = 676$, not equivalent.<br /> B. 169 is not equivalent to $\sqrt{26}$.<br /> C. 26 is not equivalent to $\sqrt{26}$.<br /> D. $\sqrt{13+13}$ simplifies to $\sqrt{26}$, which is equivalent.<br /> E. $\sqrt{26}$ is directly equivalent.
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