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

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Answer 1 · 2018-04-03T05:15:05

$(13-2sqrt22)/9$

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

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