What Is the Simplified Square Root of 48?

By Staff WriterLast Updated Apr 17, 2020 2:25:49 AM ET

The simplified square root of 48 is 4 x sqrt(3). Simplifying a square root involves taking a number apart into factors, evaluating the square roots of those factors and representing the final result as whole numbers multiplied by smaller square roots.

To simplify the square root of 48, the equation is rewritten as the square root of 16 times 3. The square root of 16, which is 4, is factored out, leaving the equation as 4 times the square root of 3. Since the square root of 3 cannot be further simplified, this value is the final simplified form. The square root of 48 is equal to about 6.92.