\(10.\sqrt{0,01}.\sqrt{\frac{16}{9}}+3\sqrt{19}-\frac{1}{6}\sqrt{4}\)
\(=10.\sqrt{\left(\frac{1}{10}\right)^2}.\sqrt{\left(\frac{4}{3}\right)^2}+3\sqrt{19}-\frac{1}{6}\sqrt{2^2}\)
\(=10.\frac{1}{10}.\frac{4}{3}+3\sqrt{19}-\frac{1}{6}.2\)
\(=\frac{4}{3}+3\sqrt{19}-\frac{1}{3}\)
\(=\left(\frac{4}{3}-\frac{1}{3}\right)+3\sqrt{19}\)
\(=1+3\sqrt{19}\)