Question

Express as a mixed surd: $\sqrt[5]{5320}$

• A. $5\sqrt[2]{210}$
• B. $10\sqrt[5]{52}$
• C. $2\sqrt[10]{105}$
• D. $2\sqrt[5]{510}$

Answer 1

Answer: (D)

$2\sqrt[5]{510}$

A surd having a rational co-efficient other than unity is called a mixed surd.

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

$\sqrt[5]{5320}=\sqrt[5]{52^5\times 10}=\sqrt[5]{52^5}\times \sqrt[5]{510}=2\sqrt[5]{510}$