Redical expression

$=\frac { \sqrt [ ]{ 32 } }{ 3 } +\frac { \sqrt [ ]{ 8 } }{ 2 } -\frac { \sqrt [ ]{ 50 } }{ 5 } \\ =\frac { \sqrt [ ]{ { 2 }^{ 4 }\cdot 2 } }{ 3 } +\frac { \sqrt [ ]{ { 2 }^{ 2 }\cdot 2 } }{ 2 } -\frac { \sqrt [ ]{ { 5 }^{ 2 }\cdot 2 } }{ 5 } \\ =\frac { 4\sqrt [ ]{ 2 } }{ 3 } +\frac { 2\sqrt [ ]{ 2 } }{ 2 } -\frac { 5\sqrt [ ]{ 2 } }{ 5 } \\ =\frac { 4\sqrt [ ]{ 2 } }{ 3 } +\sqrt [ 2 ]{ 2 } -\sqrt [ 2 ]{ 2 } \\ =\frac { 4\sqrt [ ]{ 2 } }{ 3 }$

There would be no ambiguity if the problem is put as $\dfrac{\sqrt{32} }{3}+\dfrac{\sqrt{8} } {2}-\dfrac{\sqrt{50} } {5}$ $=4*\dfrac{\sqrt2 }{3}+2*\dfrac{\sqrt{2} }{2}-5*\dfrac{\sqrt{2} }{5}\\=\sqrt2* \{\dfrac{4}{3 } +1-1\} \\= 4*\dfrac{\sqrt2 }{3}$