Вариант 2. Упростите выражения: 1) √50 + √98 − √200; 2) 5√12 − 2√48 + 2√27; 3) √20 + 2√45 − 3√500; 4) √(9a) + √(25a) − √(36a); 5) 5√(27r) − 4√(48r) − 2√(12r).

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Accepted Answer

\(\sqrt{50}+\sqrt{98}-\sqrt{200}=5\sqrt{2}+7\sqrt{2}-10\sqrt{2}=2\sqrt{2}\).
\(5\sqrt{12}-2\sqrt{48}+2\sqrt{27}=10\sqrt{3}-8\sqrt{3}+6\sqrt{3}=8\sqrt{3}\).
\(\sqrt{20}+2\sqrt{45}-3\sqrt{500}=2\sqrt{5}+6\sqrt{5}-30\sqrt{5}=-22\sqrt{5}\).
\(\sqrt{9a}+\sqrt{25a}-\sqrt{36a}=3\sqrt{a}+5\sqrt{a}-6\sqrt{a}=2\sqrt{a}\).
\(5\sqrt{27r}-4\sqrt{48r}-2\sqrt{12r}=15\sqrt{3r}-16\sqrt{3r}-4\sqrt{3r}=-5\sqrt{3r}\).

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