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Question
Making use of the cube root table, find the cube root
1100 .
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Solution
We have: \[1100 = 11 \times 100\]
∴ \[\sqrt[3]{1100} = \sqrt[3]{11 \times 100} = \sqrt[3]{11} \times \sqrt[3]{100}\]
By the cube root table, we have:
\[\sqrt[3]{11} = 2 . 224 \text{ and } \sqrt[3]{100} = 4 . 642\]
∴
\[\sqrt[3]{1100} = \sqrt[3]{11} \times \sqrt[3]{100} = 2 . 224 \times 4 . 642 = 10 . 323 (\text{ Up to three decimal places } \]
Thus, the answer is 10.323.
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