Question

Express the following mixed surd in the form of a pure surd.

$4\sqrt[3]{35}$

• A. $\sqrt[3]{3320}$
• B. $\sqrt[3]{3250}$
• C. $\sqrt[3]{3625}$
• D. $\sqrt[3]{31250}$

Answer 1

The correct option is A $\sqrt[3]{3320}$

$4\sqrt[3]{35}=\sqrt[3]{34^3\times 5}$

$\Rightarrow 4\sqrt[3]{35}=\sqrt[3]{364\times 5}$

$\Rightarrow 4\sqrt[3]{35}=\sqrt[3]{3320}$ .