Question

Making use of the cube root table, find the cube root
732 .

Answer 1

We have:  \[730 < 732 < 740 \Rightarrow \sqrt[3]{730} < \sqrt[3]{732} < \sqrt[3]{740}\] From cube root table, we have:

\[\sqrt[3]{730} = 9 . 004 \text{ and } \sqrt[3]{740} = 9 . 045\]

For the difference (740 - 730), i.e., 10, the difference in values \[= 9 . 045 - 9 . 004 = 0 . 041\]

∴  For the difference of (732 - 730), i.e., 2, the difference in values

\[= \frac{0 . 041}{10} \times 2 = 0 . 0082\]

∴ \[\sqrt[3]{732} = 9 . 004 + 0 . 008 = 9 . 012\]