Answer:
[tex]-11\sqrt5 - 11\sqrt6[/tex]
Step-by-step explanation:
Hello!
To rationalize the denominator, we have to remove any root operations.
To do that, we can multiply the numerator and denominator by the conjugate of the denominator. A conjugate is simply the same terms but with opposite operations.
Rationalize
- [tex]\frac{11}{\sqrt5 - \sqrt6}[/tex]
- [tex]\frac{11}{\sqrt5 - \sqrt6}*\frac{(\sqrt5 + \sqrt6)}{(\sqrt5 + \sqrt6)}[/tex]
- [tex]\frac{11(\sqrt5 + \sqrt6)}{5 - 6}[/tex]
- [tex]\frac{11(\sqrt5 + \sqrt6)}{-1}[/tex]
- [tex]-11\sqrt5 - 11\sqrt6[/tex]
The answer is [tex]-11\sqrt5 - 11\sqrt6[/tex].
