Thew following steps will be useful to find square root of a number by prime factorization.
Find the square root of 46656 by prime factorisation method.
We can determine the square root of perfect squares by prime factorisation method.
Obtain the given number.
We have to find the square root of above number by prime factorization method.
To find square root we have to write one number for each pair.
Take one factor from each pair.
The square root of 8100 is 90.
8 2 2 2 2 since 8 is a perfect cube number it is easy to find the cube root of a number.
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Generally prime factorization is used for finding square roots of small numbers.
Find the product of factors obtained in step iv.
Finding cube root by prime factorization.
We can find square root by prime factorization method or by long division method.
Hence the square root of 8100 is 90.
Since the number is a perfect square you will be able to make an exact number of pairs of prime factors.
Cube root of a number can be found by a very simple method which is the prime factorization method cube root is denoted by symbol.
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The prime factors of 8100 is.
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The product obtained in step v is the required square root.
The square root of 1764 by prime factorization we get 1764 2 x 2 x 3 x 3 x 7 x 7.
Given the number 8100.
1764 2 x 2 x 3 x 3 x 7 x 7 2 x 3 x 7 therefore 1764 42.
Finding the cubic root of non perfect cube number is a little complex process but can be mastered easily.
Resolve it into prime factors.
In order of finding cube root by prime factorization we use the following steps.
Ii inside the square root for every two same numbers multiplied one number can be taken out of the square root.
Iii combine the like square root terms using mathematical operations.
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Square root by prime factorization method example 1 find the square root.
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But if the number is not a perfect square then it is difficult to find the square root of it.
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