Can someone explain me how to find square root by prime factorization ?

STEPS Step I: Obtain the given number. Step II: Resolve the given number into prime factors by successive division. Step III: Make pairs of prime factors such that both the factors in each pair are equal. Since the number is a perfect square, you will be able to make an exact number of pairs of prime factors. Step IV: Take one factor from each pair. Step V: Find the product of factors obtained in step IV. Step VI: The product obtained in step V is the required square root.Example

Find the square root of 324

324 = 2 x 162 = 2 x 2 x 81 = 2 x 2 x 3 x 27 = 2 x 2 x 3 x 3 x 9 = 2 x 2 x 3 x 3 x 3 x 3 ∴ √324 = √( 2 x 2 x 3 x 3 x 3 x 3 ) √324 = 2 x 3 x 3 √324 = 18

The answer is “faster”.