Question

Rationalize the denominator:

Answer 1

`-11\sqrt5 - 11\sqrt6`

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

• 
  `(11)/(\sqrt5 - \sqrt6)`
• 
  `(11)/(\sqrt5 - \sqrt6)*((\sqrt5 + \sqrt6))/((\sqrt5 + \sqrt6))`
• 
  `(11(\sqrt5 + \sqrt6))/(5 - 6)`
• 
  `(11(\sqrt5 + \sqrt6))/(-1)`
• 
  `-11\sqrt5 - 11\sqrt6`

The answer is
`-11\sqrt5 - 11\sqrt6`.