Question

What is this in simplest radical form?

`-sqrt(32)`

Answer 1

`-4sqrt(2)`

Explanation:

`-sqrt32`

Ask yourself the question, does `32` contain any perfect squares?

What I mean by that is when trying to simplify a radical, look for any perfect squares under the radical that you can the square root of

Perfect squares are numbers that are squares of whole numbers:
So for example: `4, 9, 16, 25`

Write out `32` as a product of a number and a perfect square, the bigger the perfect square, the quicker you are done:
`8*4= 32`
`16*2=32`

We will use the second, as it has a bigger perfect square:

`-sqrt(16*2)`

What is square root of 16?

`-4sqrt(2)`