Square Root Of 196 By Prime Factorization Method

Notice 196 2 2 7 7 since there is an even number of prime factors and they can be grouped in identical pairs we know that.

Square root of 196 by prime factorization method. The square root of 1764 by prime factorization we get 1764 2 x 2 x 3 x 3 x 7 x 7. Ii inside the square root for every two same numbers multiplied one number can be taken out of the square root. The perfect square is factorized into its prime factors by successive division. Since the number is a perfect square you will be able to make an exact number of pairs of prime factors.

Prime factorization method for finding square roots examples with a square root without a square root determine the square root of 196. Take one factor from each pair. Square root by prime factorization method example 1 find the square root. How to find the least common multiple using prime factorization.

1764 2 x 2 x 3 x 3 x 7 x 7 2 x 3 x 7 therefore 1764 42. I decompose the number inside the square root into prime factors. Iii combine the like square root terms using mathematical operations. Finding the square root of a number without a calculator.

The product obtained in step v is the required square root. Taking the product of one factor from each pair will result in the square root of the perfect square. The pairs of the prime factors are paired. Finding square root by division method.

Thew following steps will be useful to find square root of a number by prime factorization.