find the number of the natural numbers less than or equal to 2985984,which are neither perfect squares nor perfect cubes .
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3 Answers
Lokesh Verma
·2009-03-26 20:44:41
√2985984=1728
3√2985984=144
so the number of perfect squares less than equal to 2985984 = 1728
so the number of perfect cubes less than equal to 2985984 = 144
Number of numbers which are both cubes and perfect squares=12
Numbers which are perfect squares or cubes=1728+144-12=1716+144=1860
hence the numbers which are neither squares nor cubes is
2985984-1860=2984124
see if any calculation mistakes
Surbhi Shah
·2009-03-27 11:03:19
how did you get "no of numbers which are both squares and cubes?"
please explain