Question

How do you simplify the square root of 180 and how do you know that it is in simplest form?

Answer 1

You factorize it.

Answer 2

look for a square number that is a factor of 180

you could have

4 x 45, 9 x 20, or 36 x 5

once you have the factors the question can be written as

\[\sqrt{180} = \sqrt{36 \times 5}\]

I'll let you finish the answer