## Finding Square root using prime factorization method

Procedure to find square root using prime factorization method  Write the prime factors of the given number  Make pairs of the equal factors  Write one factor corresponding to each pair  Multiply the obtained factors Q.1 Find the square root of 256 using the prime factorization method. Solution: 256=2×2×2×2×2×2×2×2 Make pairs  256=2×2×2×2×2×2×2×2 √256=√2×2×2×2×2×2×2×2 √256=2×2×2×2 √256=16  Q.2 … Read more