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victus00 [196]
2 years ago
14

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

Mathematics
2 answers:
lakkis [162]2 years ago
6 0

Hi!

The smallest value of k can be <u>0</u> or <u>9</u>

Explanation :-

For your question, there will be two possible answers, which means that, k can be 882<u>9</u> and 882<u>0</u> .

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 882<u>0</u> or 882<u>9</u>

-----------------☆----------------

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

Rudiy272 years ago
6 0

Answer:

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.

Step-by-step explanation:

<em>h</em><em>o</em><em>p</em><em>e</em><em> </em><em>i</em><em>t</em><em> </em><em>h</em><em>e</em><em>l</em><em>p</em><em>'</em><em>s</em><em> </em><em>y</em><em>o</em><em>u</em>

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