**The square root of 125 is approximately 11.18.** The decimals of the exact answer go on infinitely because the square root of 125 is an irrational number.

The square root of a number X is the number that, when multiplied by itself, gives X as the product. X is called the square of this number. The cube root of X is the number that produces X when it is multiplied by its square.

While the square root of 125 is irrational, the cube root of 125 is the rational number 5. Five times 5 is 25, and 25 multiplied by 5 is 125.