It's an expression. Perhaps you want to rationalize the denominator.
1/(√5 + √6 - √11) =
(√5 + √6 + √11)/(√5 + √6 + √11) 1/(√5 + √6 - √11) =
(√5 + √6 + √11)/(5 + √30 - √55 + √30 + 6 - √66 + √55 + √66 - 11) =
(√5 + √6 + √11)/(2√30 + 2√66) =
(2√30 - 2√66)/(2√30 - 2√66) (√5 + √6 + √11)/(2√30 + 2√66) =
(2√150 + 2√180 - 2√330 - 2√330 - 2√396 - 2√726)/(120 - 264) =
(√150 + √180 - 2√330 - √396 - √726)/(-72)
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Verified answer
It's an expression. Perhaps you want to rationalize the denominator.
1/(√5 + √6 - √11) =
(√5 + √6 + √11)/(√5 + √6 + √11) 1/(√5 + √6 - √11) =
(√5 + √6 + √11)/(5 + √30 - √55 + √30 + 6 - √66 + √55 + √66 - 11) =
(√5 + √6 + √11)/(2√30 + 2√66) =
(2√30 - 2√66)/(2√30 - 2√66) (√5 + √6 + √11)/(2√30 + 2√66) =
(2√150 + 2√180 - 2√330 - 2√330 - 2√396 - 2√726)/(120 - 264) =
(√150 + √180 - 2√330 - √396 - √726)/(-72)