find the smallest no by which 5184 must be divided so that
the resulting no. will be a perfect cube ?
Answers
Answered by
1
Answer:
your answer is 3
Step-by-step explanation:
Firstly we need to factorize the number 5184
After factorization we get,
⇒5184=
2∗2∗2
∗
2∗2∗2
∗
3∗3∗3
∗
3
We need to group the expanded numbers in a group of three since it has to be a perfect cube.
The number 3 does not form a triplet. Hence the number 3 has to be divided so that the quotient becomes a perfect cube.
Hope it helps!
Answered by
1
Answer:
3
Step-by-step explanation:
Firstly we need to factorize the number 5184
After factorization we get,
⇒5184=
2∗2∗2 ∗ 2∗2∗2 ∗ 3∗3∗3 ∗ 3
We need to group the expanded numbers in a group of three since it has to be a perfect cube.
The number 3 does not form a triplet. Hence the number 3 has to be divided so that the quotient becomes a perfect cube.
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