Question

Answer 1

a: =(2căn 3+3căn 3-căn 3)*căn 3

=4*căn 3*căn 3=12

b: \(=\left(\dfrac{2}{3}\cdot\sqrt{6}-2\sqrt{6}+\dfrac{5}{3}\cdot\sqrt{6}\right)\cdot\sqrt{6}\)

\(=\dfrac{1}{3}\sqrt{6}\cdot\sqrt{6}=\dfrac{1}{3}\cdot6=2\)

c: \(=\left(2\sqrt{6}-4\sqrt{3}+5\sqrt{2}-\dfrac{1}{2}\sqrt{2}\right)\cdot3\sqrt{6}\)

=36-12căn 18+27/2*căn 12

=36-36căn 2+27căn 3

d: \(=\left(\dfrac{1}{6}\sqrt{2}-\dfrac{1}{3}\sqrt{6}+\dfrac{1}{21}\sqrt{6}\right):\dfrac{\sqrt{2}}{14}\)

\(=\dfrac{\sqrt{2}}{6}\cdot\dfrac{14}{\sqrt{2}}+\dfrac{-2\sqrt{6}}{7}\cdot\dfrac{14}{\sqrt{2}}=\dfrac{7}{3}-4\sqrt{3}\)