Question

What is the steps to reduce the radical of the square root 252?

Answer 1

To simplify the square root of 252 means to get the simplest radical form of √252.

Explanation:

Step 1: List Factors

List the factors of 252 like so:

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Step 2: Find Perfect Squares

Identify the perfect squares* from the list of factors above:

1, 4, 9, 36

Step 3: Divide

Divide 252 by the largest perfect square you found in the previous step:

252 / 36 = 7

Step 4: Calculate

Calculate the square root of the largest perfect square:

√36 = 6

Step 5: Get Answer

Put Steps 3 and 4 together to get the square root of 252 in its simplest form:

6 √ 7