Question

How do you evaluate Radical 32 - radical 8?

Answer 1

Try and get some squares out of under the radical.

Explanation:

`sqrt32=sqrt(16*2)=sqrt16*sqrt2=4sqrt2`
`sqrt8=sqrt(4*2)=sqrt4*sqrt2=2sqrt2`

Since the numbers under the radicals are the same you may now safely subtract:

`4sqrt2-2sqrt2=(4-2)*sqrt2=2sqrt2`