In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
- 7x² / √(6x - 6)
Step 02:
rationalizing the denominator:
[tex]\begin{gathered} \frac{-7x^2}{\sqrt{(6x-6)}}\text{ * }\frac{\sqrt{(6x-6)}}{\sqrt{(6x-6)}} \\ \\ \frac{-7x^2\text{ }\sqrt{(6x-6)}}{\sqrt{(6x-6)}\text{ * }\sqrt{(6x-6)}}\frac{}{} \\ \\ \frac{-7x^2\sqrt{(6x-6)}}{6x-6} \end{gathered}[/tex]The answer is:
[tex]\frac{-7x^2\sqrt{6x-6}}{6x-6}[/tex]