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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 . - Mathematics

Sum

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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APPEARS IN

RD Sharma Class 8 Maths
Chapter 4 Cubes and Cube Roots
Exercise 4.3 | Q 1.2 | Page 21
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