Question

Making use of the cube root table, find the cube root
9800 .

Answer 1

We have: \[9800 = 98 \times 100\]

∴ \[\sqrt[3]{9800} = \sqrt[3]{98 \times 100} = \sqrt[3]{98} \times \sqrt[3]{100}\]

By cube root table, we have: 

\[\sqrt[3]{98} = 4 . 610 \text{ and }  \sqrt[3]{100} = 4 . 642\]

∴ \[\sqrt[3]{9800} = \sqrt[3]{98} \times \sqrt[3]{100} = 4 . 610 \times 4 . 642 = 21 . 40\] (upto three decimal places)

Thus, the required cube root is 21.40.