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

Since the number is a perfect square you will be able to make an exact number of pairs of prime factors.

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. 0 00 how to fin. It is often taken as the smallest natural number however some authors include the natural numbers from zero. Square root by prime factorization method example 1 find the square root.

Your prime factorization is the empty product with 0 factors which is defined as having a value of 1. I decompose the number inside the square root into prime factors. Iii combine the like square root terms using mathematical operations. Take the product of prime factors choosing one factor out of every pair.

The number 1 is not a prime number but a divider for every natural number. Since there is an even number of prime factors and they can be grouped in identical pairs. Ii inside the square root for every two same numbers multiplied one number can be taken out of the square root. To find the square root of a perfect square by using the prime factorization method when a given number is a perfect square.

Resolve the given number into prime factors. Thew following steps will be useful to find square root of a number by prime factorization. Make pairs of similar factors. Cubed root of 1764.

The product obtained in step v is the required square root. Https bit ly exponentsandpowersg8 in this video we will learn. Prime factors of 1764. Examples on square root of a perfect square by using the prime factorization method.