Q14 of 119 Page 50

Find the smallest number by which 2925 must be divided to obtain a perfect square. Also, find the square root of the perfect square so obtained.

Resolving 2925 into prime factors, we get

2925 = 3 × 3 × 5 × 5 × 13


Thus, 13 is the smallest number by which 2925 must be divided in order to get a perfect square


Therefore,


New number = = 225


Hence,


= 3 × 5


= 15


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