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Using the method of successive subtracti...

Using the method of successive subtraction examine whether or not the following numbers are perfect cubes: 130      (ii) 345      (iii) 792                (iv)  1331

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To determine whether the given numbers are perfect cubes using the method of successive subtraction, we will follow these steps for each number: ### Step-by-Step Solution: 1. **Understanding the Method**: We will subtract a sequence of numbers from the given number. The sequence of numbers to be subtracted is generated using the formula: \[ \text{Subtraction Number} = n^3 - (n-1)^3 = 3n^2 - 3n + 1 \] ...
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RD SHARMA-CUBES AND CUBE ROOTS-All Questions
  1. Three numbers are to one another 2 : 3 : 4 : The sum of their cubes is...

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  2. Find the cube roots of the following numbers by successive subtracti...

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  3. Using the method of successive subtraction examine whether or not t...

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  4. Find the smallest number that must be subtracted from those of the n...

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  5. Find the cube root of each of the following natural numbers: 343    ...

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  6. Find the cube root of each of the following natural numbers: 1728   ...

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  7. Find the cube root of each of the following natural numbers: (i)1342...

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  8. Find the cube root of each of the following natural numbers: (i)1574...

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  9. Find the smallest number which when multiplied with 3600 will make t...

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  10. Multiply 210125 by the smallest number so that the product is a perf...

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  11. What is the smallest number by which 8192 must be divided so that qu...

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  12. Three numbers are in the ratio 1 : 2 : 3 : The sum of their cubes is 9...

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  13. The volume of cube is 9261000\ m^3dot Find the side of the cube.

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  14. Find the cube root of 1728 .

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  15. Find the cube root of \ 5832 .

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  16. Find the cube roots of the following numbers: (i) 226981 (ii) -5717...

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  17. Find the cube root each of the following : \ 216\ xx\ 1728 (ii) -1...

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  18. Find the cube root of each of the following numbers: 140\ xx\ 2450\...

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  19. Evaluate: 1372 3 xx 1458. 3

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  20. Find the cube root of each of the following numbers : (1331)/(4096) ...

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