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Find the number of perfect squares and cubes between -2021 and 2021.

 Feb 22, 2021
 #1
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Here are some reference numbers: \(\sqrt{2021} = 44.955\) and \(\sqrt[3]{2021} = 12.643\).

 

From 1 to 2021, there are 44 perfect squares and 12 perfect cubes.

 

From -2021 to -1, there are 12 perfect cubes. (squares can't be negative)

 

0 is a perfect square and a perfect cube, but you only count it once.

 Feb 22, 2021

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