Question

find the smallest number by which 12039 3 is divided so that the quotient is a perfect cube also find the cube root of the quotient​

Answer 1

Answer:

We take lcm of 120393.

120393 = 3 \times 3 \times 3 \times 7 \times 7 \times 7 \times 13120393=3×3×3×7×7×7×13

Here, 13 is unpaired.

So we divide 120393 by 13

The we get is 9261 which is a perfect cube.

9261= 21*21*21

Therefore 21 is cube root of 9261.

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