Question

Making use of the cube root table, find the cube root
8.6 .

Answer 1

The number 8.6 can be written as \[\frac{86}{10}\] 

Now

\[\sqrt[3]{8 . 6} = \sqrt[3]{\frac{86}{10}} = \frac{\sqrt[3]{86}}{\sqrt[3]{10}}\]

By cube root table, we have:

\[\sqrt[3]{86} = 4 . 414 \text{ and } \sqrt[3]{10} = 2 . 154\]

∴ \[\sqrt[3]{8 . 6} = \frac{\sqrt[3]{86}}{\sqrt[3]{10}} = \frac{4 . 414}{2 . 154} = 2 . 049\]

Thus, the required cube root is 2.049.