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Making Use of the Cube Root Table, Find the Cube Root 5112 . - Mathematics

Sum

Making use of the cube root table, find the cube root
5112 .

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Solution

By prime factorisation, we have: \[5112 = 2^3 \times 3^2 \times 71 \Rightarrow \sqrt[3]{5112} = 2 \times \sqrt[3]{9} \times \sqrt[3]{71}\]

By the cube root table, we have: \[\sqrt[3]{9} = 2 . 080 and \sqrt[3]{71} = 4 . 141\]

∴ \[\sqrt[3]{5112} = 2 \times \sqrt[3]{9} \times \sqrt[3]{71} = 2 \times 2 . 080 \times 4 . 141 = 17 . 227\] (upto three decimal places)

Thus, the required cube root is 17.227.

 
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APPEARS IN

RD Sharma Class 8 Maths
Chapter 4 Cubes and Cube Roots
Exercise 4.5 | Q 10 | Page 36
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