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Question
Find the square root of each of the following by prime factorization.
441
Solution
Resolving 441 into prime factors:
441 = 3 x 3 x 7 x 7
Grouping the factors into pairs of equal factors:
441 = (3 x 3) x (7 x 7)
Taking one factor for each pair, we get the square root of 441:
3 x 7 = 21
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