[tex] \frac{2}{3} [/tex]
[tex]the \: above \: simply \: means \\ \: = \frac{ \sqrt[3]{8} }{ \sqrt[3]{27} } = \frac{2}{3} [/tex]
[tex] \sqrt[3]{ \frac{8}{27} } [/tex]
[tex] =3 \times \frac{ \sqrt{ {2}^{2} \times 2 } }{ \sqrt{ {3}^{2} \times 2} } [/tex]
[tex] = 3 \times \frac{ \sqrt{ {2}^{2} } \times \sqrt{2} }{ \sqrt{ {3}^{2} } \times \sqrt{3} } [/tex]
[tex] = 3 \times \frac{ {2}^{ \frac{2}{2} } \times \sqrt{2} }{{3}^{ \frac{2}{2} } \times \sqrt{3} } [/tex]
[tex] = 3 \times \frac{2 \times \sqrt{2} }{3 \times \sqrt{3} } [/tex]
[tex] = \frac{3 \times 2 \times \sqrt{2} }{3 \times \sqrt{3} } [/tex]
[tex] = \frac{2 \times \sqrt{2} }{ \sqrt{3} } [/tex]
[tex] = \frac{2 \times \sqrt{6} }{ {3}^{ \frac{2}{2} } } [/tex]
[tex] = \frac{2 \times \sqrt{6} }{3} [/tex]
