Question

Find the smallest number by which 120393 is divided so that the quotient is a perfect cube. Also find the cute
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.

Hope this helps.

Answer 2

1. Answer:

factor of 120393=3*3*3*7*7*7*13

then 120393is divided by 13 and quotient is perfect cube.

the cube root of quotient is 3*7=21