Question

\(\left(\sqrt{\dfrac{8}{2}}\sqrt{6}+\sqrt{\dfrac{50}{3}}\right)\sqrt{6}\)

Answer 1

\(\left(\sqrt{\dfrac{8}{2}}\sqrt{6}+\sqrt{\dfrac{50}{3}}\right)\sqrt{6}\)

\(=\left(\dfrac{\sqrt{8}}{\sqrt{2}}.\sqrt{2}.\sqrt{3}+\dfrac{\sqrt{50}}{\sqrt{3}}\right)\sqrt{6}\)

\(=\left(2\sqrt{2}.\sqrt{3}+\dfrac{5\sqrt{2}}{\sqrt{3}}\right)\sqrt{6}\)

\(=\dfrac{2\sqrt{6}.\sqrt{3}+5\sqrt{2}}{\sqrt{3}}.\sqrt{6}\)

\(=\dfrac{6\sqrt{2}+5\sqrt{2}}{\sqrt{3}}.\sqrt{3}.\sqrt{2}\)

\(=11\sqrt{2}.\sqrt{2}\)

\(=11.2=22\)