Q5 of 114 Page 3

Find the smallest number by which 3645 must be divided so that it becomes a perfect square. Also, find the square root of the resulting number.

3645 = 5 × (3 × 3) × (3 × 3) × 3

Here 5 and 3 are unpaired so we have to divide 3645 with 5 × 3 = 15


Therefore,


= 32 × 32


Hence,


Square root of numbers = = 3 × 3


= 9


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