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Find the smallest number by which 5400 s...

Find the smallest number by which 5400 should be multiplied so that the product is a perfect cube The following are the steps involves in solving the above problem .Arrange them in sequential order (A) `rarr 5400=2^(3)xx3^(3)xx5^(2)` (B) on prime factorisation of 5400 we get 5400= `2xx2xx2xx5xx5xx3xx3xx3` (C ) `therefore` 5400 must be multipled by 5 so that the porduct is a perfect cube (D) In the prime factorisation of 5400 we observe that 5 has not appeared n times where n is a multiple of 3

A

BACD

B

BADC

C

BDAC

D

ABDC

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Verified by Experts

The correct Answer is:
b
BADC is the sequential order of steps
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PEARSON IIT JEE FOUNDATION-SQUARES AND SQUARE ROOTS AND CUBES AND CUBE ROOTS -Level1
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