Question

M For positive values of m, 15 is equivalent to which of the following expressions?

Answer 1

Note:

`(\sqrt[]{m})^2=\sqrt[]{m}*\sqrt[]{m}=m`

From the question, we are given

`\begin{gathered} \frac{m}{\sqrt[]{m}} \\ By\text{ rationalising} \\ \frac{m}{\sqrt[]{m}}=\frac{m}{\sqrt[]{m}}*\frac{\sqrt[]{m}}{\sqrt[]{m}} \\ \frac{m}{\sqrt[]{m}}=\frac{m\sqrt[]{m}}{(\sqrt[]{m})^2} \\ \frac{m}{\sqrt[]{m}}=\frac{m\sqrt[]{m}}{m} \\ \frac{m}{\sqrt[]{m}}=\sqrt[]{m} \end{gathered}`

Therefore, the answer is

`\sqrt[]{m}`

Correct Option D