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Question

Divide the number 26244 by the smallest number so that the quotient is a perfect cube. Also, find the cube root of the quotient. [4 MARKS]

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Solution

Concept: 1 Mark
Applicaiton: 3 Marks

26244=2×2×3×3×3×3×3×3×3×3

Here 2×2 and 3×3 requires one more 2 and 3, to be grouped of three. Hence, the smallest number by which the given number must be divided in order that the quotient is a perfect cube is 2×2×3×3=36

22624421312236561321873729324338132739331

Quotient =2624436=729

=3×3×3×3×3×3

3729=3×3=9

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