Question

How do you rationalize the denominator and simplify `(sqrt(11)-sqrt(2))/(sqrt(11)+sqrt(2))`?

Answer 1

`(13-2sqrt22)/9`

Explanation:

`(sqrt11-sqrt2)/(sqrt11+sqrt2)`
=`(sqrt11-sqrt2)/(sqrt11+sqrt2)times (sqrt11-sqrt2)/(sqrt11-sqrt2)`
=`((11-2sqrt22+2)/(11-2))`
=`(13-2sqrt22)/9`