Find The Square Root Of 1764 By Using The Method Of Prime Factorization

Iii combine the like square root terms using mathematical operations.

Find the square root of 1764 by using the method of prime factorization.

To learn more about squares and square roots enrol in our full course now. To find the square root of a perfect square by using the prime factorization method when a given number is a perfect square. Your prime factorization is the empty product with 0 factors which is defined as having a value of 1. Resolve the given number into prime factors.

The number 1 is not a prime number but a divider for every natural number. I decompose the number inside the square root into prime factors. Ii inside the square root for every two same numbers multiplied one number can be taken out of the square root. Cubed root of 1764.

Examples on square root of a perfect square by using the prime factorization method. Since the number is a perfect square you will be able to make an exact number of pairs of prime factors. Take one factor from each pair. Prime factors of 1764.

Since there is an even number of prime factors and they can be grouped in identical pairs. In this video we have studied how to find squares of a given number by using prime factorization method. Find the product of factors obtained in step iv. Thew following steps will be useful to find square root of a number by prime factorization.

0 00 how to fin. Make pairs of similar factors. Take the product of prime factors choosing one factor out of every pair. Square root by prime factorization method example 1 find the square root.