Question

How do you simplify `\sqrt { 2\sqrt { 2} \cdot 3\sqrt { 2} }`?

Answer 1

`2sqrt3`

Explanation:

`sqrt(2sqrt2 cdot 3sqrt2)`

First, you solve the inner square root..

`sqrt(2 xx 3 cdot sqrt2 xx sqrt2)`

`sqrt(6 cdot 2)`

`sqrt12 = sqrt (3 xx 4) = 2sqrt3`