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

In this video we have studied how to find squares of a given number by using prime factorization method.

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

Square root by prime factorization method example 1 find the square root. Examples on square root of a perfect square by using the prime factorization method. Iii combine the like square root terms using mathematical operations. Find the product of factors obtained in step iv.

0 00 how to fin. Cubed root of 1764. To learn more about squares and square roots enrol in our full course now. It is often taken as the smallest natural number however some authors include the natural numbers from zero.

Resolve the given number into prime factors. Take one factor from each pair. Make pairs of similar factors. Prime factors of 1764.

Ii inside the square root for every two same numbers multiplied one number can be taken out of the square root. Https bit ly exponentsandpowersg8 in this video we will learn. Thew following steps will be useful to find square root of a number by prime factorization. Since the number is a perfect square you will be able to make an exact number of pairs of prime factors.

Take the product of prime factors choosing one factor out of every pair. I decompose the number inside the square root into prime factors. Since there is an even number of prime factors and they can be grouped in identical pairs. The product obtained in step v is the required square root.