I need to reduce the radical 252

√252 = 6√7

Step-by-step explanation:

Double Prime Factor Method

The Double Prime Factor Method uses the prime factors of 252 to simplify the square root of 252 to its simplest form possible. This is how to calculate A and B using this method:

A = Multiply all the double prime factors (pairs) of 252 and then take the square root of that product. The prime factors that multiply together to make 252 are 2 x 2 x 3 x 3 x 7. When we strip out the pairs only, we get 2 x 2 x 3 x 3 = 36 and the square root of 36 is 6. Therefore, A equals 6.

B = Divide 252 by the number (A) squared. 6 squared is 36 and 252 divided by 36 is 7. Therefore, B equals 7.

Once again we have A and B and can get our answer to 252 in its simplest radical form as follows:

√252 = A√B

√252 = 6√7

step-by-step explanation: