Question

How do you simplify `sqrt(320)`?

Answer 1

`8sqrt5`

Explanation:

split the number into a product pair with one being a perfect square. If you can not find the largest perfect square to begin with, start with a smaller one

`sqrt320=sqrt(16xx20)`

`=sqrt16xxsqrt20=2sqrt20`

we continue this process until there are no more perfect squares

`4sqrt20=4sqrt(4xx5)`

`=4sqrt4sqrt5`

`=4xx2sqrt5`

`=8sqrt5`