Find The Square Root Of 1764 By Prime Factorisation Method

Square root by prime factorization method example 1 find the square root.

Find the square root of 1764 by prime factorisation method.

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

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. The product obtained in step v is the required square root. The number 1 is not a prime number but a divider for every natural number. 0 00 how to fin.

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. Prime factors of 1764. Since the number is a perfect square you will be able to make an exact number of pairs of prime factors.

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. E1 coaching center recommended. Make pairs of similar factors. Take the product of prime factors choosing one factor out of every pair.

Before going further it is worth to check if 1764 is a perfect squ. 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. Your prime factorization is the empty product with 0 factors which is defined as having a value of 1.

To find the square root of a perfect square by using the prime factorization method when a given number is a perfect square. Take one factor from each pair. Thew following steps will be useful to find square root of a number by prime factorization. Case a given number is a perfect square.

Apparently you mean by only pencil and paper else there are calculators computers and possibly even some old left over slide rule. Iii combine the like square root terms using mathematical operations.