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Making use of the cube root table, find the cube root 1100 . - Mathematics

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Question

Making use of the cube root table, find the cube root
1100 .

Sum

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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Chapter 4: Cubes and Cube Roots - Exercise 4.5 [Page 36]

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RD Sharma Mathematics [English] Class 8
Chapter 4 Cubes and Cube Roots
Exercise 4.5 | Q 5 | Page 36

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