17. By what smallest number 29160 be divided so that the quotient becomes a perfect
cube?
Answers
Answered by
4
Answer:
5 is the smallest number to be divided from 29160 to make it as a perfect cube
Step-by-step explanation:
29160 = 2³x3³x3³x5
5832 = (2x3x3)³=18³
Answered by
5
Answer:
the number 5 must be subtracted to form a perfect cube
Step-by-step explanation:
Firstly we need to factorize the number 29160
After factorization we get,
⇒29160= 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 5
We need to group the expanded numbers in a group of three since it has to be a perfect cube.
The number 5 does not form a triplet. Hence the number 5 has to be divided so that the quotient becomes a perfect cube.
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