Question

Which of the following is equivalent toviz?A.at ſa1 - 1B.2+1- 1O C.I +1 - 1OD. VE-2.

Answer 1

`\frac{x}{\sqrt[]{x}-x}`

Rationalize the expression above

`\frac{x}{\sqrt[]{x}-x}*\frac{\sqrt[]{x}+x}{\sqrt[]{x}+x}`
`\frac{x(\sqrt[]{x}+x)}{x-x^2}`
`\begin{gathered} \frac{x(\sqrt[]{x}+x)}{x(x-1)} \\ \text{cutting out x from the expression} \\ \frac{\sqrt[]{x}+x}{x-1} \end{gathered}`
`\frac{x+\sqrt[]{x}}{x-1}`