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How many numbers are there from 2000 to 7000 which are both perfect squares and perfect cubes?
- A0
- B1
- C2
- D3
Answer not set
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0
CCommunity
If a number is both a perfect square and a perfect cube.
Then, it has to be some number to the power of (2 × 3) = 6
⇒ 2000 < a6 < 7000
⇒ a = 4 satisfies the above equation
⇒ required number = 46 = 4096
∴ the correct option is 2)
Then, it has to be some number to the power of (2 × 3) = 6
⇒ 2000 < a6 < 7000
⇒ a = 4 satisfies the above equation
⇒ required number = 46 = 4096
∴ the correct option is 2)
0
CCommunity
If a number is both a perfect square and a perfect cube.
Then, it has to be some number to the power of (2 × 3) = 6
⇒ 2000 < a6 < 7000
⇒ a = 4 satisfies the above equation
⇒ required number = 46 = 4096
∴ the correct option is 2)
Then, it has to be some number to the power of (2 × 3) = 6
⇒ 2000 < a6 < 7000
⇒ a = 4 satisfies the above equation
⇒ required number = 46 = 4096
∴ the correct option is 2)