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Question
Find the cube root of the following number by successive subtraction of number:
1, 7, 19, 37, 61, 91, 127, 169, 217, 271, 331, 397, ... 1728 .
Sum
Solution
We have:
1728
1
1727
7
1720
19
1701
37
1664
61
1603
91
1512
127
1385
169
1216
217
999
271
728
331
397
397
0
∵ Subtraction is performed 12 times.
∴ \[\sqrt[3]{1728} = 12\]
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