Question

What is `2\sqrt{2}\times \sqrt{12}`?

Answer 1

`4sqrt6`

Explanation:

First, multiply the radicals together

`2sqrt2*sqrt12`

`2sqrt(2*12)`

`2sqrt24`

`2sqrt(4*6) rarr` 4 is a perfect square; it can be factored out

`2*2*sqrt6`

`4sqrt6`