Question

Simplify: $6\sqrt[3]{332}+2\sqrt[3]{3108}$

• A. $32$
• B. $18\sqrt[3]{32}$
• C. $36\sqrt[3]{32}$
• D. $18\sqrt[3]{34}$

Answer 1

The correct option is D $18\sqrt[3]{34}$

The given expression can be simplified as follows:

$6\sqrt[3]{332}+2\sqrt[3]{3108}$

$\Rightarrow 6\sqrt[3]{32^3\times 4}+2\sqrt[3]{33^3\times 4}$

$\Rightarrow 6\times 2\sqrt[3]{34}+2\times 3\sqrt[3]{34}$

$\Rightarrow 12\sqrt[3]{34}+6\sqrt[3]{34}$

$\Rightarrow 18\sqrt[3]{34}$