#((1-sqrt3)/(1+sqrt3))+((sqrt3+1)/(sqrt3-1)) =?#

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Answer 1 · 2018-03-21T12:39:23

#((1-sqrt3)/(1+sqrt3))+((sqrt3+1)/(sqrt3-1)) #

#=((sqrt3+1)/(sqrt3-1))-((sqrt3-1)/(sqrt3+1)) #

#=((sqrt3+1)^2-(sqrt3-1)^2)/((sqrt3-1)(sqrt3+1)) #

#=(4sqrt3xx1)/(3-1)=2sqrt3 #

Answer 2 · 2018-03-21T13:27:37

#2 sqrt3#

#(1-sqrt 3)/(1+sqrt 3)+(sqrt 3+1)/(sqrt 3-1)#

#:.=((sqrt 3-1)(1-sqrt 3)+(1+sqrt 3)(sqrt 3+1))/((1+sqrt 3)(sqrt 3-1))#

#:.=(2 sqrt 3-4+2 sqrt 3+4)/2#

#:.=(cancel 4 ^2 sqrt 3)/cancel2^1#

#:.=2 sqrt 3#