Question

Desenvolva a expressão numérica: 3/√3 + 6/√8 x 4/√2

Answer 1

$\LARGE\displaystyle{} \dfrac{3}{ \sqrt{3} } + \dfrac{6}{ \sqrt{8} } \times \dfrac{4}{ \sqrt{2} } \\ \\ \LARGE\displaystyle{} \sqrt{3} + \dfrac{6}{ \sqrt{8} } \times \dfrac{4}{ \sqrt{2} } \\ \\ \LARGE\displaystyle{} \sqrt{3} + \dfrac{6}{2 \sqrt{2} } \times \dfrac{4}{ \sqrt{2} } \\ \\ \LARGE\displaystyle{} \sqrt{3} + \dfrac{\cancel{6}}{\cancel{2} \sqrt{2} } \times \dfrac{4}{ \sqrt{2} } \\\\ \LARGE\displaystyle{} \sqrt{3} + \dfrac{3}{ \sqrt{2} } \times \dfrac{4}{ \sqrt{2} } \\\\ \LARGE\displaystyle{} \sqrt{3} + \dfrac{12}{2} \\\\ \LARGE\displaystyle{} \sqrt{3} + \dfrac{\cancel{12}}{\cancel{2}} \\\\ \LARGE\displaystyle{} \sqrt{3} + 6 \\\\ \LARGE\displaystyle\text{ \begin{gathered} \underline{\boxed{\boldsymbol{ \sqrt{3} + 6 }}}\end{gathered} }$

$\LARGE\displaystyle\text{ \begin{gathered} \underline{\boxed{\boldsymbol{{ \red{Bons}} \blue{\:Estudos}}}}\end{gathered} }$