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Question
Find the square root the following by prime factorization.
8281
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Solution
Resolving 8281 into prime factors:
8281 = 7 x 7 x 13 x 13
Grouping the factors into pairs of equal factors:
8281 = (7 x 7) x (13 x 13)
Taking one factor for each pair, we get the square root of 8281:
7 x 13 = 91
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