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Question

pls kindly advise how to solve the Q below:

find the smallest integer value of k such that 648k is a perfect cube.

thanks in advance

Answer

This is a factor question.

648 = 2 × 2 × 2 × 3 × 3 × 3 × 3

k = 3 × 3 

648k = 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3

     = 2^3 × 3^6

Perfect cube 

 

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Hi Pek Mao,

how you derive K = 3 x 3 ? thanks 

 

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