(25/49) ^1/2 = .....................

Question

\((\frac{25}{49})^{\frac{1}{2}}\)= .........................

A) 5/7

B) 1/7

C) 1/3

D) -3

Answer 1

Correct option is (A) 5/7

\((\frac{25}{49})^\frac{1}{2}=\left(\cfrac{5^2}{7^2}\right)^\frac{1}{2}=\left[(\frac{5}{7})^2\right]^\frac{1}{2}\) \(=(\frac{5}{7})^{2\times\frac12}=(\frac{5}{7})^1=\frac{5}{7}\)

Answer 2

Correct option is  A) 5/7