**The square root of 113 is 10.63.** The square root function is symbolized by placing the number underneath a radical sign. The square root of 113 can be expressed through the formula 10.63 times 10.63 equals 113.

The square root can be determined by finding a number, y, that when multiplied by itself equals the number x, such that y times y equals x. Although sometimes the square root formula can be simplified by factoring out the square root of a whole number, this process is not possible with 113 because it is not a multiple of any of the lower square roots of whole numbers.