Find the cube roots of the following numbers by successive subtraction of numbers: 1, 7, 19, 37, 61, 91, 127, 169, 217, 271, 331,397,…
i)64
(ii 512
(iii) 1728

Explanation

To find the cube roots of the numbers 64, 512, and 1728 by successive subtraction of numbers, we can follow these steps:

### (i) Finding the cube root of 64

1. **Start with 64**: We will subtract the numbers in the sequence: 1, 7, 19, 37, 61, 91, 127, 169, 217, 271, 331, 397, ...
2. **Subtract 1**:
- \( 64 - 1 = 63 \)
3. **Subtract 7**:
...