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Question #89844

1 Answer

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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