how many numbers between 1 and 2000 inclusive have both square root and cube root as integer
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There are 3 numbers in this range:
1, 64, and7291, 64, and729
The following one with this prerequisite met is 163=2(4×3) =4096163=2(4×3)=4096
For this announcement to be valid in any case, the number being cubed must be a "square number" - a number that has been increased without anyone else's input to get this number. For this situation, we have 6 numbers that were in this range:
±1, ±2, and±3±1, ±2, and±3
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