Square Root Formula

Square Root Formula Square root of a number or an expression is represented by a radical sign and the square root of a number means that the number is raised to an exponent of 1/2. In order to find the square root of a number, we have to find the number which when multiplied by itself gives the given number. Perfect squares are the numbers which give a perfect number when taken their square root. The square root of a number which is not a perfect square can be calculated by simplification. Example 1: What is the square root of 64? Square root of 64 can be also represented with the radical sign as 64. In order to find its value, we need to find the numbers which when multiplied by itself gives 64. 8 * 8 = 64 and we also have -8 * -8= 64. This implies that 8 multiplied by itself or -8 multiplied by itself gives 64 as the answer and 64 is the perfect square. Hence, square root of 64, which implies 64 = 8. Example 2: Simplify the square root of 48? Here 48 is not a perfect square since there is no number which can multiply by itself to give 48. So now prime factorization of 48 gives== 48 = 2 * 2 * 2 * 2 * 3. This implies: 48 = (2 * 2 * 2 * 2 * 3) Now we can pull out the numbers which are repeating twice inside== 2 * 2 * 3. Hence 48 = 43. Therefore the simplified form of 48 = 43.