Bài 1:
a) \(\sqrt{50}=5\sqrt{2}\)
b) \(\sqrt{1210}=11\sqrt{10}\)
c) \(\sqrt{450}=15\sqrt{2}\)
d) \(\sqrt{98a^3}=7\left|a\right|\sqrt{2a}\)
e) \(\sqrt{72a^2b^3}=6\left|ab\right|\sqrt{2b}\)
f) \(\sqrt{0.27a^4b^2c}=\dfrac{3\sqrt{3}}{10}\cdot a^2\cdot\left|b\right|\cdot\sqrt{c}\)
Bài 2:
a) Ta có: \(2\sqrt{48}+4\sqrt{300}-\sqrt{72}+3\sqrt{8}\)
\(=8\sqrt{3}+40\sqrt{3}-6\sqrt{2}+6\sqrt{2}\)
\(=48\sqrt{3}\)
b) Ta có: \(\left(3\sqrt{5}+\sqrt{20}\right)\cdot\left(\sqrt{24}-\sqrt{96}\right)\)
\(=5\sqrt{5}\cdot\left(-2\sqrt{6}\right)\)
\(=-10\sqrt{30}\)
c) Ta có: \(\sqrt{4.9}\cdot\sqrt{40}\cdot3\sqrt{a^2}\)
\(=\sqrt{196}\cdot3\cdot\left|a\right|\)
\(=42\left|a\right|\)
d) Ta có: \(2.2\sqrt{200}+0.06\sqrt{80000}\)
\(=2.2\cdot10\sqrt{2}+0.06\cdot200\sqrt{2}\)
\(=22\sqrt{2}+12\sqrt{2}\)
\(=34\sqrt{2}\)
