Question

Express as a mixed surd in lowest form $\sqrt[3]{340}$

• A. $2\sqrt[3]{35}$
• B. $3\sqrt[3]{35}$
• C. $2\sqrt[3]{33}$
• D. $2\sqrt[3]{34}$

Answer 1

The correct option is A $2\sqrt[3]{35}$

$\sqrt[3]{340}=\sqrt[3]{32\times 2\times 5\times 2}=\sqrt[3]{32^3\times 5}=2\sqrt[3]{35}$