Maths-
General
Easy

Question

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

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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