Find The Square Root Of 1764 By Prime Factorisation Method

Take one factor from each pair.

Find the square root of 1764 by prime factorisation method.

To find the square root of a perfect square by using the prime factorization method when a given number is a perfect square. The product obtained in step v is the required square root. Find the product of factors obtained in step iv. Cubed root of 1764.

Square root by prime factorization method example 1 find the square root. Since the number is a perfect square you will be able to make an exact number of pairs of prime factors. Before going further it is worth to check if 1764 is a perfect squ. I decompose the number inside the square root into prime factors.

Thus 400 2 2 2 2 5 5 square root of 400 2 2 5 4 5 20 ex 6 3 4 find the square roots of the following numbers by the prime factorization method. Iii 1764 by prime factorization 1764 2 2 3 3 7 7 1764 2 3 7 2 21 42 ex 6 3 4 find the square roots of the following numbers by. To learn more about squares and square roots enrol in our full course now. Resolve the given number into prime factors.

Https bit ly exponentsandpowersg8 in this video we will learn. Ii inside the square root for every two same numbers multiplied one number can be taken out of the square root. It is often taken as the smallest natural number however some authors include the natural numbers from zero. Thew following steps will be useful to find square root of a number by prime factorization.

Case a given number is a perfect square. Examples on square root of a perfect square by using the prime factorization method. Your prime factorization is the empty product with 0 factors which is defined as having a value of 1. Prime factors of 1764.

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. 0 00 how to fin.

Make pairs of similar factors. E1 coaching center recommended.