Question

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

Answer 1

Solution

Note:

$(\sqrt[]{m})^2=\sqrt[]{m}\times\sqrt[]{m}=m$

From the question, we are given

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

Therefore, the answer is

$\sqrt[]{m}$

Correct Option D