How do you simplify $8/sqrt 10$ ?

Question

7902 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-02-09T07:44:01

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

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

continue

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

so that

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

How do you simplify 8/sqrt 108/sqrt 10?