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Maths-

General

Easy

Question

Would you classify the number 200 as a perfect square , a perfect cube , both or neither ?

hint Hint:

Use the definition of perfect square and perfect cube and then classify.

The correct answer is: 200

Complete step by step solution:
Here we have the number = 200
A perfect square is a number that can be expressed as a product of 2 equal integers.
Here $200 equals 10 square root of 2 cross times 10 square root of 2$
Since $10 square root of 2$ is not an integer, 200 is not a perfect square.
A perfect cube is a number that can be expressed as a product of 3 equal integers.
Here $200 equals 5.848 cross times 5.848 cross times 5.848$
Since is not an integer, 200 is not a perfect cube.
Hence 200 is neither perfect square nor perfect cube.

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