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Question
Find the square root the following by prime factorization.
196
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Solution
Resolving 196 into prime factors:
196 = 2 x 2 x 7 x 7
Grouping the factors into pairs of equal factors:
196 = (2 x 2) x (7 x 7)
Taking one factor for each pair, we get the square root of 196:
2 x 7 = 14
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