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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}}$ = $2\dfrac{2}{3} . \dfrac{1}{3} . 2\sqrt{6} = \dfrac{16}{9} \sqrt{6}$

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    Looks good to me, provided that $2{2\over3}$ means two-and-two-thirds, and not two-times-two thirds.2012-10-13
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    Thank you, it indeed means two-and-two-thirds2012-10-13

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