Lets say I have this: $ 2\dfrac{2}{3}\sqrt{2\dfrac{2}{3}}$ and I want to make this more simple, are my following steps correct?
$ 2\dfrac{2}{3}\sqrt{2\dfrac{2}{3}} = 2\dfrac{2}{3}\sqrt{\dfrac{24}{9}}$ = $2\dfrac{2}{3} . \dfrac{1}{3} . 2\sqrt{6} = \dfrac{16}{9} \sqrt{6}$