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Find the smallest number by which 2592 s...

Find the smallest number by which 2592 should be divided so that the quotient is a perfect cube The folloiwng are the steps involved in solving the above problem .Arrange them in sequential order
(A) On prime factorisation 2592 =`2^(5)xx3^(4)`
(B) 2592 should be divided by 12 so that the quotient is a perfect cube
(C ) Now 2592 =`(6)^(3)xx12`

A

ACB

B

ABC

C

CAB

D

CBA

Text Solution

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The correct Answer is:
A
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