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Mariaelena99
a fost răspuns

[tex] \sqrt{7+4 \sqrt{3} } + \sqrt{7-4 \sqrt{3} } [/tex]

Răspuns :

[tex]\sqrt{7+4\sqrt{3}}+\sqrt{7-4\sqrt{3}}=\\ \sqrt{4+3+4\sqrt3}+\sqrt{4+3-4\sqrt3}=\\ \sqrt{(2+\sqrt3)^2}+\sqrt{(2-\sqrt3)^2}=\\ 2+\sqrt3+2-\sqrt3=\boxed{\boxed{4}}}[/tex]

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