Question

Find the cube root of 133100 if the cube root of 100 is 4.642.

• A. 11
• B. 4.462
• C. 51.057
• D. 22.091

Answer 1

The correct option is D 22.091

$\text{The given number is 133100.}133100=1331\times 100$

$\because$ 1331 = 11 x 11 x 11

$\Rightarrow \sqrt[3]{3133100}=\sqrt[3]{311\times 11\times 11\times 100}=11\sqrt[3]{3100}$

Given that, $\sqrt[3]{3100}=4.642$

$\Rightarrow \sqrt[3]{3133100}=11\times 4.642=51.057$