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Q.

The pure surd form of $n . \sqrt[a]{m}$ is

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a

\sqrt[a]{m . n^{a}}

b

\sqrt[a]{m . a^{n}}

c

\sqrt[a]{{(m . n)}^{a}}

d

\sqrt[a]{a^{n m}}

answer is B.

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Detailed Solution

A surd having no rational factor except unity is called a pure surd or complete surd.

The pure surd form of $n . \sqrt[a]{m}$ is $\sqrt[a]{m . n^{a}}$ .

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The pure surd form of n.ma is