Question

Find the smallest value of k, when 882k is a cube. pls help ​

Answer 1

There are two possible answer that is k can be 8820 and 8829, you can write any if these two as any number ending with 0 or 9 are perfect cubes.

Explanation:

hope it help's you

Answer 2

Hi!

The smallest value of
`k` can be 0 or 9

Explanation :-

For your question, there will be two possible answers, which means that,
`k` can be 8829 and 8820 .

It is allowed to write any one number out of these two as any number ending with 0 or 9 are perfect cubes.

Hence, the answer will be 8820 or 8829

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Hint :-

882 = 2×3²×7². By trying to get to 2³×3³×7³ = (2×3×7)³. In other words, figure out what is missing that k needs to be so that you arrive at (2×3×7)³

Or put another way, you want to solve 882×k = (2×3×7)³