Question

15 PONTOS, AJUUUUUUUDA NESSAS FRAÇÕES...

Answer 1

Olá PSSOUSSA,

vamos usar as técnicas de racionalização de denominadores, veja a simplificação que se segue:

$\left[\dfrac{-1+\left(-\dfrac{1}{2} \right)}{ \dfrac{ \sqrt{3} }{2} }\right]~\to~\dfrac{-1- \dfrac{1}{2} }{ \dfrac{ \sqrt{3} }{2} }~\to~\left(- \dfrac{3}{2}\right):\dfrac{ \sqrt{3} }{2}~\to~\left(-\dfrac{3}{2}\right)* \dfrac{2}{ \sqrt{3} }\\\\\\\\ ~\to~ \dfrac{(-3)*2}{2* \sqrt{3} }~\to~ \dfrac{-6}{2 \sqrt{3} }~\to~ \dfrac{(-6)*2 \sqrt{3} }{2 \sqrt{3}*2 \sqrt{3} }~\to~ \dfrac{-12 \sqrt{3} }{4*3}~\to~ \dfrac{-12 \sqrt{3} }{12}\\\\\\\\ ~\to~(-1)* \sqrt{3}~\to~\boxed{- \sqrt{3}}$

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$\dfrac{0-\left(-\dfrac{1}{2}\right) }{ \dfrac{2* \sqrt{3} }{2} }~\to~ \dfrac{ \dfrac{1}{2} }{ \dfrac{\not2 \sqrt{3} }{\not2} }~\to~ \dfrac{ \dfrac{1}{2} }{ \sqrt{3} }~\to~ \dfrac{1}{2}: \sqrt{3}~\to~ \dfrac{1}{2}: \dfrac{ \sqrt{3} }{1}~\to~ \dfrac{1}{2}* \dfrac{1}{ \sqrt{3} }\\\\\\ ~\to~ \dfrac{1*1}{2* \sqrt{3} }~\to~ \dfrac{1}{2 \sqrt{3} }~\to~ \dfrac{1*2 \sqrt{3} }{2 \sqrt{3}*2 \sqrt{3} }~\to~ \dfrac{2 \sqrt{3} }{4*3}~\to~ \dfrac{2 \sqrt{3} }{12}~\to~\boxed{\dfrac{ \sqrt{3} }{6}}$

Espero ter ajudado e tenha ótimos estudos =))