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Question
Find the square root the following by prime factorization.
47089
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Solution
Resolving 47089 into prime factors:
47089 = 7 x 7 x 31 x 31
Grouping the factors into pairs of equal factors:
47089 = (7 x 7) x (31 x 31)
Taking one factor for each pair, we get the square root of 47089:
7 x 31 = 217
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