Question

Express as a mixed surd: $\sqrt[3]{3256}$

• A. $16\sqrt[3]{34}$
• B. $8\sqrt[3]{34}$
• C. $4\sqrt[3]{34}$
• D. $2\sqrt[3]{34}$

Answer 1

The correct option is C $4\sqrt[3]{34}$

If some part of the quantity under the radical sign is taken out of it, then it makes the mixed surd

$\sqrt[3]{3256}=\sqrt[3]{34^3\times 4}=\sqrt[3]{34^3}\times \sqrt[3]{34}=4\sqrt[3]{34}$