Question

Express as a pure surd: $2\sqrt[3]{34}$

• A. $\sqrt[2]{232}$
• B. $\sqrt[2]{216}$
• C. $\sqrt[3]{332}$
• D. $\sqrt[3]{3128}$

Answer 1

Answer: (C)

$\sqrt[3]{332}$

A surd in which the whole of the rational number is under the radical sign and makes the radicand, is called pure surd.

$2\sqrt[3]{34}=\sqrt[3]{32^3}\times \sqrt[3]{34}=\sqrt[3]{38}\times \sqrt[3]{34}=\sqrt[3]{332}$