Squaring and Cubing
Six numbers between 3 and 30 are either squares or cubes 4, 8, 9, 16, 25, 27. How many numbers between 30 and 300 are either squares or cubes? How many numbers between 30 and 3000 are either squares or cubes? Note: If a number is a square and a cube, it should be counted only once.
(Source: Adapted from Mathematics Teaching in the Middle School, MarApr 1997)
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