Gujarat BoardEnglish MediumSTD 8MATHSCubes and Cube Roots2 Marks
Question
Making use of the cube root table, find the cube root $8.6$
✓
Answer
The number $8.6$ can be written as $\frac{86}{10}.$
Now $\sqrt[3]{8.6}$
$=\sqrt[3]{\frac{86}{100}}$
$={\frac{\sqrt[3]{86}}{\sqrt[3]{10}}}$ By cube root table,
we have: $\sqrt[3]{86}=4.414$ and $\sqrt[3]{10}=2.154$
$\therefore\sqrt[3]{8.6}$
$=\frac{\sqrt[3]{86}}{\sqrt[3]{10}}$
$=\frac{4.414}{2.154}$
$=2.049$ Thus, the required cube root is $2.049.$
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