Gujarat BoardEnglish MediumSTD 8MATHSCubes and Cube Roots5 Marks
Question
Making use of the cube root table, find the cube root $7532$
✓
Answer
We have:$7500 < 7532 < 7600$
$\Rightarrow\sqrt[3]{7500}<\sqrt[3]{7532}<\sqrt[3]{7600}$
From the cube root table, we have:
$\sqrt[3]{7500}=19.57$ and $\sqrt[3]{7600}=19.66$
For the difference $(7600 - 7500)$, i.e., $100$, the difference in values
$= 19.66 - 19.57 = 0.09$
$$$\therefore$ For the difference of $(7532 - 7500)$, i.e., $32$, the difference in values
$=\frac{0.09}{100}\times32=0.0288=0.029$ (upto three decimal places)
$\therefore\sqrt[3]{7532}$
$=19.57+0.029$
$=19.599$
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