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How many integers between 25 and 250 (inclusive) are not perfect cubes nor perfect squares?

 Jan 2, 2021
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So there are 226 numbers because 250-25+1=226.

The squares 5-15 fit between 25 and 250.

Also the cubes 3-6 fit.

So we get 11+4=15.

But 64 is a square and a cube.

So we get 15-1=14.

We can subtract 226 by 14 to get an answer of 212.

 Jan 2, 2021

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