Question

Simplify, choosing the correct answer as a mixed number in lowest terms. sqrt of 400/49

Answer 1

$\sqrt{\dfrac{400}{49}}=\dfrac{\sqrt{400}}{\sqrt{49}}=\dfrac{20}{7}=2\dfrac{6}{7}\\\\\text{Used}\ \sqrt{\dfrac{a}{b}}=\dfrac{\sqrt{a}}{\sqrt{b}}$

$\sqrt{400}=20\ \text{because}\ 20^2=400\\\\\sqrt{49}=7\ \text{because}\ 7^2=49$