Square root of a number is the value that returns the original number on multiplied by itself. Finding square root by prime factorisation is an easy method. We need to factories the number under the root and pair them in two.
Finding the square root of 45
We will find the square root of 45 by prime factorisation method
The prime factorisation of 45 can be written as:
45 = 3 X 3 X 5
√45= √( 3 X 3 X 5)
√45 = 3√ 5
Hence, the square root of 45 is 3√ 5