What Is the Square Root of 252?

By Staff WriterLast Updated Mar 25, 2020 12:31:04 PM ET

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.

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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).