Find The Square Root Of 1764 By Prime Factorisation Method

I decompose the number inside the square root into prime factors.

Find the square root of 1764 by prime factorisation method.

Iii combine the like square root terms using mathematical operations. 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. Ii inside the square root for every two same numbers multiplied one number can be taken out of the square root. Find the square root of 7744 by prime factorization square root and cube root trick of any number fastest method in your mind how to best way duration.

E1 coaching center recommended. Resolve the given number into prime factors. 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.

Take one factor from each pair. 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. Prime factors of 1764. Examples on square root of a perfect square by using the prime factorization method.

To learn more about squares and square roots enrol in our full course now. The product obtained in step v is the required square root. Thew following steps will be useful to find square root of a number by prime factorization. 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. To find the square root of a perfect square by using the prime factorization method when a given number is a perfect square. Https bit ly exponentsandpowersg8 in this video we will learn. Cubed root of 1764.

Take the product of prime factors choosing one factor out of every pair. Case 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. Click here to get an answer to your question find the square root of the following number by prime factorisation method i 729 ii 400 iii 1764 iv 4096 v 7744 vi 9604 vii 5929 viii 9216 ix 529 x 8100.

Apparently you mean by only pencil and paper else there are calculators computers and possibly even some old left over slide rule. Find the product of factors obtained in step iv.