Gujarat BoardEnglish MediumSTD 8MATHSCubes and Cube Roots2 Marks
Question
Making use of the cube root table, find the cube root $0.86$
✓
Answer
The number $0.86$ can be written as $\frac{86}{100}.$
Now $\sqrt[3]{0.86}$
$=\sqrt[3]{\frac{86}{100}}$
$={\frac{\sqrt[3]{86}}{\sqrt[3]{100}}}$ By cube root table,
we have: $\sqrt[3]{86}=4.414$ and $\sqrt[3]{100}=4.642$
$\therefore\sqrt[3]{0.86}$
$=\frac{\sqrt[3]{86}}{\sqrt[3]{100}}$
$=\frac{4.414}{4.642}$
$=0.951$ (upto three decimal places) Thus, the required cube root is $ 0.951.$
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