Gujarat BoardEnglish MediumSTD 8MATHSCubes and Cube Roots2 Marks
Question
Making use of the cube root table, find the cube root $0.27$
✓
Answer
The number $0.27$ can be written as $\frac{27}{100}.$
Now
$\sqrt[3]{0.27}$
$=\sqrt[3]{\frac{27}{100}}$
$={\frac{\sqrt[3]{27}}{\sqrt[3]{100}}}$
$=\frac{3}{\sqrt[3]{100}}$
By cube root table, we have:
$\sqrt[3]{100}=4.642$
$\therefore\sqrt[3]{0.27}$
$=\frac{3}{\sqrt[3]{100}}$
$=\frac{3}{4.642}$
$=0.646$
Thus, the required cube root is $0.646.$
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