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Question

Find the square root of 256


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Solution

Find the square root of 256 using prime factorization method

The prime factors of 256 can be written as

256=2×2×2×2×2×2×2×2

Taking Square root on both sides

256=2×2×2×2×2×2×2×2

256=2×2×2×2

256=16

Hence the square root of 256 is 16


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