Question

simplifique a expressão​

Answer 1

Resposta:

$\sqrt{2} .(\sqrt{8} +2\sqrt{6} )_-\sqrt{3} .(\sqrt{27} +3\sqrt{6} )=\\ \\ \sqrt{2} .\sqrt{8} +2.\sqrt{2} .\sqrt{6} -\sqrt{3} .\sqrt{27} -3.\sqrt{3} .\sqrt{6} =\\ \\ \sqrt{2.8} +2\sqrt{2.6} -\sqrt{3.27} -3\sqrt{3.6} =\\ \\ \sqrt{16} +2\sqrt{12} -\sqrt{81} -3\sqrt{18} =\\ \\ \sqrt{2^4} +2\sqrt{2^2.3} -\sqrt{3^4} -3\sqrt{2.3^2} =\\ \\ 2^2+2.2\sqrt{3} -3^2-3.3\sqrt{2} =\\ \\ 4+4\sqrt{3} -9-9\sqrt{2} =\\ \\ 4\sqrt{3} -9\sqrt{2} -5$