Question

Qual é o valor da expressão a segui ? 


$\frac{1}{4} \sqrt{48} + \frac{1}{2} \sqrt{243} - \frac{1}{6}  \sqrt{12}$

Answer 1

$\frac{1}{4}\sqrt{48}+\frac{1}{2}\sqrt{243}-\frac{1}{6}\sqrt{12} \\ \\ \frac{1}{4}.4\sqrt3+\frac{1}{2}.9\sqrt3-\frac{1}{6}.2\sqrt3= \\ \\ \sqrt3+\frac{9}{2} \sqrt3-\frac{1}{3}\sqrt3= \\ \\ (1+\frac{9}{2}-\frac{1}{3})\sqrt3 = \\ \\ \frac{6+27-2}{6}\sqrt3=\boxed{\frac{31}{6}\sqrt3}$