We conclude that 84 is not a perfect square and does not have a square root that is a whole number.
Find the square root of 225 by prime factorization method.
Generally prime factorization is used for finding square roots of small numbers.
Take one factor from each pair.
1764 2 x 2 x 3 x 3 x 7 x 7 2 x 3 x 7 therefore 1764 42.
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Iii combine the like square root terms using mathematical operations.
Use the prime factorization method to decide if these numbers are perfect squares and to find the square roots of those that are perfect squares.
Find the product of factors obtained in step iv.
Finding cube root by prime factorization.
The square root of 1764 by prime factorization we get 1764 2 x 2 x 3 x 3 x 7 x 7.
Ii inside the square root for every two same numbers multiplied one number can be taken out of the square root.
The product obtained in step v is the required square root.
Square root by prime factorization method example 1 find the square root.
We can find square root by prime factorization method or by long division method.
Resolve it into prime factors.
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Thew following steps will be useful to find square root of a number by prime factorization.
Obtain the given number.
Finding the square root by prime factorization method.
Since the number is a perfect square you will be able to make an exact number of pairs of prime factors.