Question

How do you simplify `sqrt4/(2sqrt20)`?

Answer 1

We may start by realizing that `20=4xx5`

Explanation:

`=cancelsqrt4/(2*cancelsqrt4*sqrt5)=1/(2sqrt5)`

To make it look better, we multiply by `1`, disguised as `sqrt5/sqrt5`

`=1/(2sqrt5)xxsqrt5/sqrt5=sqrt5/(2sqrt5^2)=sqrt5/(2*5)=1/10sqrt5`