Making use of the cube root table, find the cube root 7532 - Vidyadip

Question

Making use of the cube root table, find the cube root 7532

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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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