Square Root of 56 - Maths Online Tutoring

Square Root of 56 - Maths Online Tutoring Square root of 56 is calculated by splitting 56 into its prime factors and hence 56 can be written as 2 * 2 * 2 * 7. So, the square root of 56 is equal to (2 * 2 * 2 * 7). Now in order to simplify the square root, we can pull out the numbers which are repeatedly multiplied twice. This gives 2 * (2 * 7) = 2 * 14 = 214. Therefore the square root of 56 is given as 56 = 214. Example 1: Simplify the given expression, 4 * 56. Here each square root radical should be simplified further. 4 = (2 * 2). Now pull out the number which is repeating twice inside the radical. This gives: 4 = 2and 4 is a perfect square since its square root gives a perfect number! And we already have 56 = 214. So, 4 * 56 = 2 * 214 = 414. Hence the value of the expression, 4 * 56is = 414. Example 2: Simplify the given expression, 14 + 56. Here each square root radical should be simplified further. 14 = (2 * 7) and it is already in its simplified form as no number is repeating twice inside the radical to be pulled out. And we have 56 = 214. So, 14 + 56 = 114 +214 = (1 + 2) 14 = 314. (They are like terms since they have the same radical 14 and hence can be added). Hence the value of the expression, 14 + 56 is = 314.