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Question
Find the square root the following by prime factorization.
1156
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Solution
Resolving 1156 into prime factors:
1156 = 2 x 2 x 17 x 17
Grouping the factors into pairs of equal factors:
1156 = (2 x 2) x (17 x 17)
Taking one factor for each pair, we get the square root of 1156:
2 x 17 = 34
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