Square Root Simplifier

Square Root Simplifier Square root simplifier is the method in which the number inside the square root radical, represented by the symbol is simplified into its lowest numbers. A number inside a square root can be simplified further when the number is split into its prime factors. This is called prime factorization of a number and by factoring, a square root number can be written in its simplest form. Square root simplification makes a question easier and it also makes it easy for any other calculations. Example 1: Simplify the given square root expression, 125 - 45. Here each square root number should be simplified further. 125 = (5 * 5 * 5). Now pull out the number which is repeating twice inside the radical. This gives: 125 = 5 * 5 = 55. Similarly, 45 = (3 * 3 * 5) = 3 * 5 = 35. So, 125 - 45 = 55- 35 = 25. (Since both have the same radical 5, they can be subtracted together!) Hence the value of the expression 125 - 45 = 25. Example 2: Simplify the given square root expression, 20 + 45. Here each square root number should be simplified further. 20 = (2 * 2 * 5). Now pull out the number which is repeating twice inside the radical. This gives: 20 = 2 * 5 = 25. Similarly, 45 = (3 * 3 * 5) = 3 * 5 = 35. So, 20 + 45 = 25 + 35 = 55. (Since both have the same radical 5, they can be added together!) Hence the value of the expression 20+ 45 = 55.