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KATRIN_1 [288]
3 years ago
8

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

Mathematics
2 answers:
bagirrra123 [75]3 years ago
8 0
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.
borishaifa [10]3 years ago
3 0

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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