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```        The number of natural numbers less that or eual to 2985984 which are neither perfect squares nor perfect cubes are:
a) 2984124 b) 2984244 c) 2959595 d) none.
please explain to me how to solve this problem.```
6 years ago

## Answers : (1)

SAGAR SINGH - IIT DELHI
879 Points
```										Dear student,
√2985984=17283√2985984=144so the number of perfect squares less than equal to 2985984 = 1728so the number of perfect cubes less than equal to 2985984 = 144Number of numbers which are both cubes and perfect squares=12Numbers which are perfect squares or cubes=1728+144-12=1716+144=1860hence the numbers which are neither squares nor cubes is 2985984-1860=2984124.

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Sagar Singh
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sagarsingh24.iitd@gmail.com

```
6 years ago
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