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Question
Find the smallest number by which 4851 must be multiplied so that the product becomes a perfect suqare.
Solution
Prime factorisation of 4851:
4851 = 3 x 3 x 7 x 7 x 11
Grouping them into pairs of equal factors:
4851 = (3 x 3) x (7 x 7) x 11
The factor, 11 is not paired. The smallest number by which 4851 must be multiplied such that the resulting number is a perfect square is 11.
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