Question

Simplify, choosing the correct answer as a mixed number in lowest terms.

sqrt of 400/49

Answer 1

`\sqrt{(400)/(49)}=(√(400))/(√(49))=(20)/(7)=2(6)/(7)\\\\\text{Used}\ \sqrt{(a)/(b)}=(√(a))/(√(b))`

`√(400)=20\ \text{because}\ 20^2=400\\\\√(49)=7\ \text{because}\ 7^2=49`