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

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

Make pairs of similar factors. Examples on square root of a perfect square by using the prime factorization method. Iii combine the like square root terms using mathematical operations. 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. The number 1 is not a prime number but a divider for every natural number. Square root by prime factorization method example 1 find the square root. Find the product of factors obtained in step iv.

Since the number is a perfect square you will be able to make an exact number of pairs of prime factors. The product obtained in step v is the required square root. 0 00 how to fin. Cubed root of 1764.

Resolve the given number into prime factors. To learn more about squares and square roots enrol in our full course now. Ii inside the square root for every two same numbers multiplied one number can be taken out of the square root. Since there is an even number of prime factors and they can be grouped in identical pairs.

Prime factors of 1764. I decompose the number inside the square root into prime factors. Thew following steps will be useful to find square root of a number by prime factorization. It is often taken as the smallest natural number however some authors include the natural numbers from zero.