Question

How do you simplify `sqrt0.08`?

Answer 1

You may begin by writing `sqrt0.08=sqrt(8/100)`

Explanation:

Then we apply the 'radical rules':
`sqrt(a/b)=sqrta/sqrtb` and `sqrt(axxb)=sqrtaxxsqrtb`

Translated to our problem:
`=sqrt8/sqrt100=sqrt8/sqrt(10^2)=sqrt8/10`

But since `8=4xx2=2^2xx2`:
`->sqrt8=sqrt(2^2)xxsqrt2=2sqrt2`

Then we get to:
`=(2sqrt2)/10=1/5sqrt2`