Question

√50-√32-0.3√18 упростить выражение

Answer 1

$\sqrt{50}-\sqrt{32}-0,3\sqrt{18}=\sqrt{25\bullet2}-\sqrt{16\bullet2}-0,3\sqrt{9\bullet2}=\\\\=\sqrt{5^2\bullet2}-\sqrt{4^2\bullet2}-0,3\sqrt{3^2\bullet2}=5\sqrt{2}-4\sqrt{2}-0,3\bullet3\sqrt{2}=\\\\=\sqrt2-0,9\sqrt2=\sqrt2(1-0,9)=0,1\sqrt2.$