Would you classify the number 200 as a perfect square a perfect cube both neither explain
2 answers:
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.
Answer:
200 is not a perfect square
200 is not a perfect cube
Step-by-step 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
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