Question

Making use of the cube root table, find the cube root
0.86 .

Answer 1

The number 0.86 could be written as\[\frac{86}{100}\] .

Now

\[\sqrt[3]{0 . 86} = \sqrt[3]{\frac{86}{100}} = \frac{\sqrt[3]{86}}{\sqrt[3]{100}}\]

By cube root table, we have: \[\sqrt[3]{86} = 4 . 414 \text{ and } \sqrt[3]{100} = 4 . 642\]

∴ \[\sqrt[3]{0 . 86} = \frac{\sqrt[3]{86}}{\sqrt[3]{100}} = \frac{4 . 414}{4 . 642} = 0 . 951\] (upto three decimal places)

Thus, the required cube root is 0.951.