How many integers between 25 and 250 (inclusive) are not perfect cubes nor perfect squares?
Well.....first.... how many integers between 25 and 250 (inclusive) are there?
then count the # of perfect squares 25 36 49 etc and subtract it.....
subtract the # perfect cubes ( 27 64 etc ) and subtract it....
BUT BE careful to not count numbers twice ( numbers that are perfect squares AND perfect cubes)
It seems you've worked out the steps to the answer; do you still need help?