Ii inside the square root for every two same numbers multiplied one number can be taken out of the square root.
Square root of 1764 by prime factorisation method.
The number 1 is not a prime number but a divider for every natural number.
I decompose the number inside the square root into prime factors.
Cubed root of 1764.
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Take one factor from each pair.
Case a given number is a perfect square.
It is often taken as the smallest natural number however some authors include the natural numbers from zero.
Square root by prime factorization method example 1 find the square root.
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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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.
Before going further it is worth to check if 1764 is a perfect squ.
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.
Iii combine the like square root terms using mathematical operations.
Apparently you mean by only pencil and paper else there are calculators computers and possibly even some old left over slide rule.
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Find the product of factors obtained in step iv.
Prime factors of 1764.
Thew following steps will be useful to find square root of a number by prime factorization.