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Murrr4er [49]
2 years ago
12

What is the smallest positive integer $n$ such that $3n$ is a perfect square and $2n$ is a perfect cube?

Mathematics
1 answer:
Agata [3.3K]2 years ago
6 0

Answer:

108

Step-by-step explanation:

Since 3n is a perfect square, that means that n has to be a multiple of 3. Since 2n is a perfect cube, then n has to be divisible by 2^2=4. Since n is a multiple of 3, then n also has to be divisible by 3^3=27. Therefore, the smallest value for n is 4*27=108.

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D=a/a+12*M. The adult weighs 75 kg. Calculate the adults weight in kilograms to pounds. Round final answer 2 decimal places
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An adult with a weight of 75 kilograms have an <em>equivalent</em> weight of 165.60 pounds.

<h3>How to convert kilograms to pounds</h3>

Herein we have an application of <em>unit</em> conversions between <em>weight</em> units, from kilograms to pounds. Unit conversions follow this <em>direct proportional</em> formula:

y = k · x

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To learn more on weight units: brainly.com/question/18762697

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