permutations and combinations

find the number of the natural numbers less than or equal to 2985984,which are neither perfect squares nor perfect cubes .

3 Answers

62
Lokesh Verma ·

2985984=1728
32985984=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

1
Surbhi Shah ·

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

13
Двҥїяuρ now in medical c ·

6√2985984=12

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