Question

simplificando-se 2√3+2√12-2√75 obteve

Answer 1

$2\sqrt{3}+2\sqrt{12}-2\sqrt{75}\text{ (Colocando o 2 em evidencia)}\\2\cdot \left(\sqrt{3}+\sqrt{12}-\sqrt{75}\right)\\2\cdot \left(\sqrt{3}+\sqrt{4\cdot 3}-\sqrt{25\cdot 3}\right)\\2\cdot \left(\sqrt{3}+2\sqrt{3}-5\sqrt{3}\right)\\2\cdot \left(\sqrt{3}\cdot \left(1+2-5\right)\right)\\2\cdot \left(\sqrt{3}\cdot \left(-2\right)\right)\\2\cdot \left(-2\sqrt{3}\right)\\\boxed{\bold{-4\sqrt{3}}}$