Making use of the cube root table, find the cubes root of the following (correct to three decimal places)
8.65

AcademicMathematicsNCERTClass 8

Given: 

8.65

To find: 

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

Solution:

$8<8.65<9$

$\sqrt[3]{8}<\sqrt[3]{8.65}<\sqrt[3]{9}$

$8.65=8+0.65$

$\sqrt[3]{8}=2.000$

$\sqrt{9}=2.080$

For the difference $(9-8)=1$,

The difference in the values $=2.080-2.000$

$=0.080$

This implies,

For the difference of $0.65$,

The difference in the values $=0.080 \times 0.65$

$=0.052$

Therefore,

$\sqrt[3]{8.65}=2.000+0.052$

$=2.052$

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

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