Question

simplificando-se 2√¯3 + 2√¯12 -2√¯75 obtém se 

Answer 1

$\sqrt{12}=\sqrt{3*4}=\sqrt{3}*\sqrt{4}=\sqrt{3}*2=2\sqrt{3}\\\sqrt{75}=\sqrt{3*25}=\sqrt{3}*\sqrt{25}=\sqrt{3}*5=5\sqrt{3}$
________________

$2\sqrt{3}+2\sqrt{12}-2\sqrt{75}=2(\sqrt{3}+\sqrt{12}-\sqrt{75})\\2\sqrt{3}+2\sqrt{12}-2\sqrt{75}=2(\sqrt{3}+2\sqrt{3}-5\sqrt{3})\\2\sqrt{3}+2\sqrt{12}-2\sqrt{75}=2(-2\sqrt{3})\\\\\boxed{\boxed{2\sqrt{3}+2\sqrt{12}-2\sqrt{75}=-4\sqrt{3}}}$

Answer 2

-4√3

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