Question

Calcule

3√18 - 2√50 + 4√8 - 7√32

Answer 1

Resposta:

$3\sqrt{18} -2\sqrt{50} +4\sqrt{8} -7\sqrt{32} =\\ \\ 3\sqrt{2.3^2} -2\sqrt{2.5^2} +4\sqrt{2^2.2} -7\sqrt{2^2.2^2.2} =\\ \\ 3.3\sqrt{2} -2.5\sqrt{2} +4.2\sqrt{2} -7.2.2\sqrt{2} =\\ \\ 9\sqrt{2} -10\sqrt{2} +8\sqrt{2} -28\sqrt{2} =\\ \\ 17\sqrt{2} -38\sqrt{2} =\fbox{ -21\sqrt{2} }$