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