Question

Упростите выражение:б)в)г)

Answer 1

б)

$\sqrt{50}+\sqrt{98}-\sqrt{200}=\sqrt{25}*\sqrt{2}+\sqrt{49}*\sqrt{2}-\sqrt{100}*\sqrt{2}=\\=5\sqrt{2}+7\sqrt{2}-10\sqrt{2}=2\sqrt{2}$

в)

$\sqrt{27}+\sqrt{12}+\sqrt{75}=\sqrt{9}*\sqrt{3}+\sqrt{4}*\sqrt{3}+\sqrt{25}*\sqrt{3}=\\=3\sqrt{3}+2\sqrt{3}+5\sqrt{3}=10\sqrt{3}$

г)

$\sqrt{20}+2\sqrt{45}-3\sqrt{500}=\sqrt{4}*\sqrt{5}+2\sqrt{9}*\sqrt{5}-3\sqrt{100}*\sqrt{5}=\\=2\sqrt{5}+6\sqrt{5}-30\sqrt{5}=-22\sqrt{5}$