Question

(√2+√3) elevado á 2​

Answer 1

Explicação passo-a-passo:

$(\sqrt{2} +\sqrt{3} )^2=\\ \\ (\sqrt{2} )^2+2.\sqrt{2} .\sqrt{3} +(\sqrt{3} )^2=\\ \\ 2+2\sqrt{6} +3=\\ \\ 5+2\sqrt{6} \\ \\ ---------------------------\\ ou\\ (\sqrt{2} +\sqrt{3} )(\sqrt{2} +\sqrt{3} )=\\ \\ \sqrt{2}. (\sqrt{2} +\sqrt{3} )+\sqrt{3} .(\sqrt{2} +\sqrt{3} )=\\ \\ \sqrt{4} +\sqrt{6} +\sqrt{6} +\sqrt{9} =\\ \\ 2+2\sqrt{6} +3=\\ \\ 5+2\sqrt{6}$