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Is 256 a perfect cube?...

Is 256 a perfect cube?

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Verified by Experts

Given:
cube root of `256`
`=> root(3)(256)=root(3)(2xx2xx2xx2xx2xx2xx2xx2)`
`=> root(3)(256)=2xx2root(3)(4)`
`=> root(3)(256)=4root(3)(4)`
`=> root(3)(256)=4xx1.5874`
`=> root(3)(256)=6.3496`
`=> root(3)(256)=6.35`
...
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RD SHARMA-CUBES AND CUBE ROOTS-All Questions
  1. Is 256 a perfect cube?

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  2. Is 216 a perfect cube? What is that number whose cube is 216?

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  3. Is 27000 a perfect cube ? What is the number whose cube is \ 27000 ?

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  4. What is the smallest number by which 392 must be multiplied so that ...

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  5. What is the smallest number by which 3087 must be divided so that th...

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  6. Prove that if a number is doubled, then its cube is eight times the ...

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  7. Evaluate the following : (I){(24^2+7^2)^(1/2)}^3 (ii) {sqrt(15^2+8...

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  8. Find the volume of a cube whose surface area is 150 m^2dot

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  9. Find the cube of 24^3 by using column method.

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  10. Using column method find the cubes of the following natural numbers...

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  11. Using column method find the cubes of the following numbers: 98    ...

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  12. Find the cubes of the following numbers : (i)7             (ii) 12  ...

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  13. Find the cubes of the following numbers : (i)21            (ii) 40  ...

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  14. Find the cubes of the following numbers : (i)100           (ii) 302 ...

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  15. Write the cubes of all natural numbers between 1 and 10 and verify t...

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  16. Observe the following pattern : 1^3=1 1^3+2^3=(1+2)^2 1^3+2^3+3^3=...

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  17. Write the cubes of 5 natural number which are multiples of 3 and ver...

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  18. Write the cubes of 5 natural number which are of form 3n+1(eg. 4 ,7,...

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  19. Write the cubes of 5 natural numbers of the form 3n+2(idote .5 ,8, 1...

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  20. Write the cubes of 5 natural numbers of which are multiples of 7 and...

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