Question

24.) What is the simplified form of √180?

A.) 5-√√6
B.) 6-√√5
C.) 2√15
D.) 3√10

Answer 1

The simplified form of √180 is 6√5.

Step-by-step explanation:

The simplified form of √180 is 6√5. To simplify the square root of a number, we look for perfect square factors inside the square root. In this case, 180 can be broken down into 2 x 2 x 3 x 3 x 5. Since 2 x 2 x 3 x 3 = 36 is a perfect square, we can take it outside the square root symbol as 6. The remaining factor is 5, so the simplified form is 6√5.

Learn more about Simplifying square roots