Single Choice

Express as a mixed surd: $$\sqrt [ 5 ]{ 320 } $$

A$$5\sqrt [ 2 ]{ 10 } $$
B$$10\sqrt [ 5 ]{ 2 } $$
C$$2\sqrt [ 10 ]{ 5} $$
D$$2\sqrt [ 5 ]{ 10 } $$
Correct Answer

Solution

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

$$\sqrt[5]{320}= \sqrt[5]{2^5\times 10}=\sqrt[5]{2^5}\times \sqrt[5]{10}= 2\sqrt[5]{10}$$

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