Question

find the smallest number by which 3645 must be divided so that it becomes perfect square.also find the square root of the number.

Answer 1

3645 = 3*3*3*3*3*3*5

=(3*3)*(3*3)*(3*3)*5

5 is alone here

to make 3645 perfect square we multiply with 5

3645*5 = (3*3)*(3*3)*(3*3)*(5*5)

=(3*3*3*5)^2

=(135)^2

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