Question

How do you simplify square root of 10*square root of 12?

Answer 1

`2sqrt30`

Explanation:

`sqrt10` and `sqrt12` have the same index 2. Because of this, you are allowed to multiply them.
`sqrt10*sqrt12`
`=sqrt(10*12)`

Factor 10 and 12 so you can easily see if there are any perfect squares.
`sqrt(10*12)`
`=sqrt(5*2*2*2*3)`
`=2sqrt(5*2*3)`
`=2sqrt30`