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Question

Find the square root of 1521 by the prime factorization method.


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Solution

Finding the square root using the prime factorization method

Given number, 1521

A perfect square can always be expressed as a product of pairs of equal factors

Using the prime factorization method,

1521=3×3×13×13=32×132

So, 1521=32×132=3×13=39

Hence, the square root of 1521 is 39.


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