a: \(=\left(2\sqrt{2}-3\sqrt{2}+\sqrt{10}\right)\cdot\sqrt{2}-\sqrt{5}\)
\(=-2+2\sqrt{5}-\sqrt{5}=-2+\sqrt{5}\)
b: \(=0.2\cdot10\sqrt{3}+2\cdot\left(\sqrt{5}-\sqrt{3}\right)\)
\(=5\sqrt{3}+2\sqrt{5}-2\sqrt{3}=3\sqrt{3}+2\sqrt{5}\)
\(a,\left(\sqrt{8}-3\sqrt{2}+\sqrt{10}\right)\sqrt{2}-\sqrt{5}\)
\(=\left(2\sqrt{2}-3\sqrt{2}+\sqrt{10}\right)\sqrt{2}-\sqrt{5}\)
\(=\left(-1\sqrt{2}+\sqrt{10}\right)\sqrt{2}-\sqrt{5}\)
\(=\left(-\sqrt{2}+\sqrt{10}\right)\sqrt{2}-\sqrt{5}\)
\(=-2\sqrt{2}\sqrt{2}+\sqrt{10}\sqrt{2}-\sqrt{5}\)
\(=-\left(\sqrt{2}\right)^1\sqrt{2}+\sqrt{10}\sqrt{2}-\sqrt{5}\)
\(=-\left(\sqrt{2}\right)^1\left(\sqrt{2}\right)^1+\sqrt{10}\sqrt{2}-\sqrt{5}\)
\(=-\left(\sqrt{2}\right)^2+\sqrt{10}\sqrt{2}-\sqrt{5}\)
\(=-2+\sqrt{10}\sqrt{2}-\sqrt{5}\)
\(=-2+2\sqrt{5}-\sqrt{5}\)
\(=-2+1\sqrt{5}\)
b,\(0.2\sqrt{\left(-10\right)^2.3}+2\sqrt{\left(\sqrt{3}-\sqrt{5}\right)^2}\)
\(=0+2\sqrt{\left(\sqrt{3}-\sqrt{5}\right)^2}\)
\(=2.\left(-\left(\sqrt{3}-\sqrt{5}\right)\right)\)
\(=-2\left(\sqrt{3}-\sqrt{5}\right)\)
\(=-2\sqrt{3}-2.\left(-\sqrt{5}\right)\)
