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SymphonyOfFantasy
a fost răspuns

aratati ca 2/√3-1 - √3 = 1

Răspuns :

Cristinatibulca
2(√3+1)/(√3+1)(√3-1) -√3=2(√3+1)/(3-1) -√3=2(√3+1)/2 -√3=√3+1-√3=1
[tex]\it\dfrac{2}{\sqrt3-1} -\sqrt3 = \dfrac{2(\sqrt3+1)}{(\sqrt3)^2-1^2} -\sqrt3 =\dfrac{2(\sqrt3+1)}{3-1}-3 = \\\;\\ \it \dfrac{\it 2(\sqrt3+1)}{2} -\sqrt3 =\sqrt3+\it1-\sqrt3 =1[/tex]


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