Question

How do i rationalize the denominator?-7x^2----------squareroot of 6x-6

Answer 1

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:

`\begin{gathered} (-7x^2)/(√((6x-6)))\text{ * }(√((6x-6)))/(√((6x-6))) \\ \\ \frac{-7x^2\text{ }√((6x-6))}{√((6x-6))\text{ * }√((6x-6))}\frac{}{} \\ \\ (-7x^2√((6x-6)))/(6x-6) \end{gathered}`

The answer is:

`(-7x^2√(6x-6))/(6x-6)`