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2-3-2-2-3-2-3-2-2-3-simplify-

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Question Number 59763 by ANTARES VY last updated on 14/May/19
((2+(√3))/( (√2)+(√(2+(√3)))))+((2+(√3))/( (√2)−(√(2−(√3))))) simplify.
2+32+2+3+2+32−2−3simplify.
Answered by Kunal12588 last updated on 14/May/19
(√(2+(√3)))=(√((4+2(√3))/2)) (√(2+(√3)))=((1+(√3))/( (√2))) (√(2−(√3)))=(((√3)−1)/( (√2))) ((2+(√3))/( (√2)+(√(2+(√3)))))+((2+(√3))/( (√2)−(√(2−(√3))))) =(2+(√3))((1/( (√2)+((1+(√3))/( (√2)))))+(1/( (√2)−(((√3)−1)/( (√2)))))) =(2+(√3))(((√2)/(3+(√3)))+((√2)/(3−(√3)))) =(√2)(2+(√3))(((3−(√3)+3+(√3))/6)) =(√2)(2+(√3))
2+3=4+2322+3=1+322−3=3−122+32+2+3+2+32−2−3=(2+3)(12+1+32+12−3−12)=(2+3)(23+3+23−3)=2(2+3)(3−3+3+36)=2(2+3)

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