Question

Would you classify the number 200 as a perfect square a perfect cube both neither explain

Answer 1

200 is not a perfect square

200 is not a perfect cube

Explanation:

200 = 2 × 100

⇒√200 = √(2 × 100)

⇒√200 = √2 × √100 (√(ab) = √a × √b)

⇒√200 = √2 × √10²

⇒√200 = 1.414... × 10

⇒√200 = 14.14........

So, 200 is not a perfect square

200 = 2 × 2 × 2 × 5 × 5

⇒∛200 = ∛(2 × 2 × 2 × 5 × 5)

⇒∛200 = ∛2³ × ∛(5 × 5)

⇒∛200 = 2∛25

⇒∛200 = 2 × 2.924.....

⇒∛200 = 5.848.....

So, 200 is not a perfect cube

Answer 2

200 is not a perfect square because the square root of 200 is 14.14. The cubed root of 200 is 5.85. Because neither answer is a whole number (in both answers, there were more numbers after, but I rounded), I wouldn't classify 200 as a perfect square or a cube.