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Question-43349

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Question Number 43349 by peter frank last updated on 10/Sep/18
Answered by math1967 last updated on 10/Sep/18
(√(2+(√5)−(√(6−3(√5)+(√((3−(√(5)^2 )))))))) (√(2+(√5)−(√(6−3(√5)+3−(√5))))) (√(2+(√5)−(√(((√5)−2)^2 )))) (√(2+(√5)−(√5)+2)) (√4)=2 (proved)
2+5−6−35+(3−5)22+5−6−35+3−52+5−(5−2)22+5−5+24=2(proved)
Commented by peter frank last updated on 10/Sep/18
much respect
muchrespect
Answered by Joel578 last updated on 10/Sep/18
(√(14 − 6(√5))) = (√(14 − 2(√(45)))) = 3 − (√5) (√(6 − 3(√5) + 3 − (√5))) = (√(9 − 4(√5))) = (√(9 − 2(√(20)))) = (√5) − 2 (√(2 + (√5) − (√5) + 2)) = (√4) = 2
14−65=14−245=3−56−35+3−5=9−45=9−220=5−22+5−5+2=4=2
Commented by malwaan last updated on 10/Sep/18
3−(√5) ??
3−5??
Commented by Joel578 last updated on 10/Sep/18
(3 − (√5))^2 = 9 − 6(√5) + 5 = 14 − 6(√5) = 14 − 2(√(45)) (√((3 − (√5))^2 )) = (√(14 − 2(√(45))))
(3−5)2=9−65+5=14−65=14−245(3−5)2=14−245
Commented by peter frank last updated on 10/Sep/18
thanks
thanks

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