Question #89844

1 Answer
Gerardina C.
Jun 26, 2017

(25+sqrt3)/22

Explanation:

LCM of 5-sqrt3 and 5+sqrt3 is their product:

(5-sqrt3)*(5+sqrt3)=25-3=22

then you get

3/(5-sqrt3)+2/(5+sqrt3)=(3(5+sqrt3)+2(5-sqrt3))/22=(15+3sqrt3+10-2sqrt3)/22=(25+sqrt3)/22

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