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`

Answer 2

we are given

`\sqrt{(400)/(49)}`

we can write it as

`=(√(400))/(√(49))`

now, we can factor top and bottom

`=(√(20*20))/(√(7*7))`

`=(√(20^2))/(√(7^2))`

now, we can simplify it

we get

`=(20)/(7)`

now, we can change in mixed form

`=2(6)/(7)`...............Answer