Question

Thực hiện các phép tính:

a. \(2\sqrt{16}+\sqrt{2}.\sqrt{0.02}-\dfrac{\sqrt{12,1}}{\sqrt{0,1}}\)

b. \(5\sqrt{20}-4\sqrt{45}+\dfrac{15}{\sqrt{5}}\)

c. \(\left(\dfrac{\sqrt{6}-\sqrt{3}}{5\sqrt{2}-5}+\dfrac{\sqrt{5}}{5}\right):\dfrac{2}{\sqrt{5}-\sqrt{3}}\)

d. \(\dfrac{\sqrt{6}-3}{\sqrt{3}-\sqrt{2}}-\dfrac{4}{\sqrt{3}+1}+3\sqrt{3}\)

Answer 1

a: \(=2\cdot4+0.2-11=8-11+0.2=-2.8\)

b: \(=10\sqrt{5}-12\sqrt{5}+3\sqrt{5}=\sqrt{5}\)

c: \(=\left(\dfrac{\sqrt{3}\left(\sqrt{2}-1\right)}{5\left(\sqrt{2}-1\right)}+\dfrac{\sqrt{5}}{5}\right)\cdot\dfrac{\sqrt{5}-\sqrt{3}}{2}\)

\(=\dfrac{\sqrt{5}+\sqrt{3}}{5}\cdot\dfrac{\sqrt{5}-\sqrt{3}}{2}=\dfrac{1}{2}\)

d: \(=-\sqrt{3}+2-2\sqrt{3}+3\sqrt{3}=2\)