Making use of the cube root table, find the cubes root of the following (correct to three decimal places)
0.27

AcademicMathematicsNCERTClass 8

Given: 

0.27

To find: 

We have to find the cube root of the given number correct to three decimal places using cube root table.

Solution:

$\sqrt[3]{0.27}=\sqrt[3]{\frac{27}{100}}$

$=\sqrt[3]{\frac{270}{1000}}$

$=\sqrt[3]{\frac{27}{1000} \times 10}$

$=\sqrt[3]{(\frac{3}{10} \times \frac{3}{10} \times \frac{3}{10}) \times 10}$

$=\frac{3}{10} \sqrt[3]{10}$

$=\frac{3}{10} \times 2.154$

$=3 \times 0.2154$

$=0.6462$

$=0.646$

raja
Updated on 10-Oct-2022 13:19:15

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