What Is the Square Root of 252?

By Staff WriterLast Updated March 25, 2020

The square root of 252 is equal to 15.87. Written in simplified radical form, the square root of 252 is equal to 6 times the square root of 7.

The exact value of the square root of 252 can be found by using the radical function on a calculator. It can also be solved via simplification by factoring out the square of a whole number divisor. Since 252 is equal to 36 x 7, the square root of 252 is equal to the square root of 36 times the square root of seven. As the square of a whole number, the square root of 36 can be rewritten as plain 6, resulting in the final form of 6 x square root (7).