Single Choice

Express as a pure surd: $$3\sqrt [ 4 ]{ 5 }$$

A$$\sqrt [ 2 ]{ 405 } $$
B$$\sqrt [ 4 ]{ 45 } $$
C$$\sqrt [ 4 ]{ 75 } $$
D$$\sqrt [ 4 ]{ 405 } $$
Correct Answer

Solution

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

$$3\sqrt[4]{5} = \sqrt[4]{3^4} \times \sqrt[4]{5} = \sqrt[4]{81}\times \sqrt[4]{5} =\sqrt [4]{81\times 5} = \sqrt[4]{405}$$

SIMILAR QUESTIONS

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