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in Cube and Cube Roots by (48.6k points)
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Find out the smallest number multiplied by the following numbers to get the perfect cube? 

(i) 5400

(ii) 10584

1 Answer

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Best answer

(i) 5400 

Resolving 5400 into Prime factors as follows

Here, factor 5 is not ¡n group of three. 

∴ To make 5400 a perfect cube, we have to multiply it by smallest number 5.

(ii) 10584 

Resolving 10584 into Prime factors as follows

Here , factor 7 is not in group of three 

∴ To make 10584 as a perfect cube, we have to multiply it by smallest number 7.

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