Question

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

Answer 1

Given number =3645

On Prime Factorisation

LCM Of 3645 = 5x3x3x3x3x3x3

From above calculation we see that 5 doesn't form a pair.So 3645 must be divided by 5 to make it perfect square. (3645/5)

•: Perfect square no so obtained after division =729

So, √729=3x3x3

=27 (Ans)

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