Question

Would you classify the number 200 as a perfect square, a perfect cube, both, or neither? Explain and use finding the square root and cube root to show how you know.

Answer 1

The number 200 is neither a perfect square nor a perfect cube.

Step-by-step explanation:

The number 200 is not a perfect square because it does not have an integer square root. To find the square root of 200, we can use a calculator or estimate. The square root of 200 is approximately 14.14.

The number 200 is also not a perfect cube because it does not have an integer cube root. To find the cube root of 200, we can again use a calculator or estimate. The cube root of 200 is approximately 5.848.

Therefore, the number 200 is neither a perfect square nor a perfect cube.