Question

How do you simplify `8/sqrt 10`?

Answer 1

`8/sqrt10=(4sqrt10)/5`

Explanation:

`8/sqrt10=8/sqrt10*sqrt10/sqrt10=(8sqrt10)/10`

continue

`(8sqrt10)/10=(2*4*sqrt10)/(2*5)=(cancel2*4*sqrt10)/(cancel2*5)`

so that

`8/sqrt10=(4sqrt10)/5` the simplest