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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, ... 512 .
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Solution
We have:
512
1
511
7
504
19
485
37
448
61
387
91
296
127
169
169
0
∵ Subtraction is performed 8 times.
∴ \[\sqrt[3]{512} = 8\]
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