Question

rationalize the denominator

-11x^5 / sqrt(-6x+9)

Answer 1

\[-11x ^{5}\div \sqrt{-6x+9}\]

Answer 2

\(\LARGE\color{blue}{ \frac{-11x^5}{ \sqrt{-6x+9}} }\)

Answer 3

multiply top and bottom times √{-6x+9}

Answer 4

\(\LARGE\color{blue}{ \frac{-11x^5\color{red}{\times\sqrt{-6x+9}}}{ \sqrt{-6x+9}\color{red}{\times\sqrt{-6x+9}}} }\)

Answer 5

\(\LARGE\color{blue}{ \frac{-11^5\sqrt{-6x+9}}{-6x+9} }\)

Answer 6

and it can't be simplified further? that's what i got!

Answer 7

And btw,
domain ≤ 2/3

Answer 8

No it can't be simplified further.

Answer 9

thank you!

Answer 10

Well, you could have said, instead of rationalizing, \(\normalsize\color{blue}{ -11x^5(-6x+9)^{-1/2}}\) but this is not rationalized. You aren't looking for that.

Answer 11

You welcome !