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

Here is the answer of the given question above. In order to simplify the square root of 180, you need to search for a square number that is a factor of 180. It could be the following: 36 x 5, 4 x 45 or 9 x 20. Then once you are done with the factors, you can simply write it this way. √ 180 = √ 36*5. Then, this gives you 6√5. This is the exact form. The decimal form would be 13.41640786.