Question

Cat face acest calcul?
$\frac{2 \sqrt{2} }{3} ^{3}$
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Answer 1

 

$\displaystyle\bf\\\left(\frac{2\sqrt{2}}{3}\right)^3=\frac{2^3\Big(\sqrt{2}\Big)^3}{3^3} =\frac{8\sqrt{2^3}}{27}=\frac{8\sqrt{8}}{27}=\frac{8\sqrt{4\times2}}{27}=\frac{8\times2\sqrt{2}}{27} =\boxed{\bf\frac{16\sqrt{2}}{27}}$