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

 Dec 21, 2021
 #1
avatar+115975 
+2

What have you done towards solving this for yourself?

 Dec 21, 2021
 #2
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+2

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)

 Dec 22, 2021
 #3
avatar+132 
+2

It seems you've worked out the steps to the answer; do you still need help?

tinfoilhat  Dec 22, 2021
 #4
avatar+115975 
+2

So how many numbers are there between 25 and 250 inclusive?

Melody  Dec 22, 2021
edited by Melody  Dec 22, 2021

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