The square root of 106 is 10.29. To determine the square root, find the number, "y", such that when it is multiplied by itself, the product is equal to "x," as in the formula "y times y equals x."
For the number 106, the formula for the square root is expressed as 10.29 times 10.29 equals 106. Graphing calculators contain the function to determine the square root, as many basic calculators do not offer that function. Although sometimes a number can be simplified to determine the square root by factoring out the square of a whole number, the square of 106 can not be simplified.