Question

If the cube root of $132651$ is $51$, then what is the value of $\sqrt[3]{3132.651}+\sqrt[3]{30.132651}+\sqrt[3]{30.000132651}$

• A. $0$
• B. $5.1$
• C. $5.61$
• D. $5.661$

Answer 1

The correct option is D $5.661$

$\sqrt[3]{3132.651}+\sqrt[3]{30.132651}+\sqrt[3]{30.000132651}$

$\Rightarrow \sqrt[3]{3\frac{132651}{1000}}+\sqrt[3]{3\frac{132651}{1000000}}+\sqrt[3]{3\frac{132651}{1000000000}}$

$\Rightarrow \frac{\sqrt[3]{3132651}}{\sqrt[3]{31000}}+\frac{\sqrt[3]{3132651}}{\sqrt[3]{31000000}}+\frac{\sqrt[3]{3132651}}{\sqrt[3]{31000000000}}$

$\Rightarrow \frac{51}{10}+\frac{51}{100}+\frac{51}{1000}$

$\Rightarrow 5.1+0.51+0.051=5.661$