how did you get "no of numbers which are both squares and cubes?"
please explain
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