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Would u clasify the number 200 as a perfect square, a perfect cube both or neither

1 Answer

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Answer:

Neither

Explanation:

There is no whole number that, when you square it (multiply it times itself) makes 200.

14^2 = 14×14 = 196

and

15^2 = 15×15 = 225

196 and 225 are perfect squares, but 200 is not.

Similarly, 200 is not a perfect cube because there is no whole number that when you cube it (raise it to the 3rd power, that is, multiply it times itself three times) makes 200.

5^3 = 5×5×5 = 125

and

6^3 = 6×6×6 = 216

125 and 216 are perfect cubes and 200 is not.



14.1421356237^2 is pretty close to 200.

sqrt(200) × sqrt(200) is exactly 200, but usually numbers are only called perfect square if its an integer (a whole number, not a decimal) that squares to it. Same with cubes.

User Evelyne
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