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Question
Find the square root the following by prime factorization.
586756
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Solution
Resolving 586756 into prime factors:
586756 = 2 x 2 x 383 x 383
Grouping the factors into pairs of equal factors:
586756 = (2 x 2) x (383 x 383)
Taking one factor for each pair, we get the square root of 586756:
2 x 383 = 766
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