Question

which smallest natural number should be divided 1188 so that the quotient is a perfect cube

Answer 1

hey friend here is your answer....

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1188 =2×2×3×3×3×11

there is two 2s , three 3s and one 11

so there is two 2 and two 3 is in pair and one 3 and one 11 is remaining.

so you have to divide 1188 by 3×11=33 .

then the quotient will be 36 which is a perfect square.

so, the answer is 33.

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