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Making Use of the Cube Root Table, Find the Cube Root 833 . - Mathematics

Sum

Making use of the cube root table, find the cube root
833 .

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Solution

We have: \[830 < 833 < 840 \Rightarrow \sqrt[3]{830} < \sqrt[3]{833} < \sqrt[3]{840}\]

From the cube root table, we have: \[\sqrt[3]{830} = 9 . 398 \text{ and  } \sqrt[3]{840} = 9 . 435\]

For the difference (840 - 830), i.e., 10, the difference in values
\[= 9 . 435 - 9 . 398 = 0 . 037\]

∴  For the difference (833 - 830), i.e., 3, the difference in values

\[= \frac{0 . 037}{10} \times 3 = 0 . 0111 = 0 . 011\]  (upto three decimal places)
∴  \[\sqrt[3]{833} = 9 . 398 + 0 . 011 = 9 . 409\] .
  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Class 8 Maths
Chapter 4 Cubes and Cube Roots
Exercise 4.5 | Q 21 | Page 36
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