Resolve the given number into prime factors.
Find the square root of 1764 by prime factorisation method.
The product obtained in step v is the required square root.
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To find the square root of a perfect square by using the prime factorization method when a given number is a perfect square.
Make pairs of similar factors.
It is often taken as the smallest natural number however some authors include the natural numbers from zero.
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.
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Find the product of factors obtained in step iv.
Cubed root of 1764.
Your prime factorization is the empty product with 0 factors which is defined as having a value of 1.
Ii inside the square root for every two same numbers multiplied one number can be taken out of the square root.
Examples on square root of a perfect square by using the prime factorization method.
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.
Since the number is a perfect square you will be able to make an exact number of pairs of prime factors.
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.
Take one factor from each pair.
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.
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I decompose the number inside the square root into 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.
Before going further it is worth to check if 1764 is a perfect squ.
Case a given number is a perfect square.
Prime factors of 1764.
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Thew following steps will be useful to find square root of a number by prime factorization.