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