How to find a square root by prime factorisation method
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- It can be observed that the prime factors in the prime factorization of a square number occurs twice the number of times it occurs in the number itself.
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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: Step I: Resolve the given number into prime factors. Step II: Make pairs of similar factors. Step III: Take the product of prime factors, choosing one factor out of every pair.
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