Question

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

Answer 1

6*sqrt(5)

Explanation:

Sqrt(180)

180/36=5 and 36=6^2

So just re-write sqrt(180) as

sqrt(180)=sqrt(6^2*5)=6*sqrt(5)

We know this is simplest form as 5 is not a perfect square. When simplifying a radical then we are simply taking out any numbers that are perfect squares and multiples of the number under the radical or sqrt sign

Any questions feel free to ask. Thanks.