Question

How do you simplify `(10*sqrt8) /sqrt 16`?

Answer 1

`(10sqrt8)/sqrt16=5sqrt2`

Explanation:

`(10sqrt8)/sqrt16=(10sqrt8)/4=(10sqrt(4*2))/4=(5*2*sqrt(4)*sqrt(2))/(2*2)`

`=(5*2*2*sqrt(2))/(2*2)`

`=(5*cancel2*cancel2*sqrt(2))/(cancel2*cancel2)`

`=5sqrt2`