Question

CALCULATI:
a) 0,(6)+0,2:$10^{-2}$ + $\sqrt{6}$($\frac{2}{ \sqrt{3} }$+$\sqrt{3}$)-$\sqrt{50} }$ =

Answer 1

$\frac{6}{9}$+$\frac{2}{10}$×100+$\frac{ 2\sqrt{6} }{ \sqrt{3} }$+$3\sqrt{2}$-$5 \sqrt{2}$=
=$\frac{6+180+ 54\sqrt{2}+ 27\sqrt{2}- 45\sqrt{2} }{9}$
=$\frac{186-36 \sqrt{2} }{9}$
=$\frac{2(31-6 \sqrt{2)} }{3}$