Multiple choice

If $\alpha ,\beta $ are the roots of the equation $2{ x }^{ 2 }-5x+16=0\quad $ then the value of $\quad { \left( \cfrac { { \alpha }^{ 2 } }{ \beta } \right) }^{ \cfrac { 1 }{ 3 } }+{ \left( \cfrac { { \beta }^{ 2 } }{ \alpha } \right) }^{ \cfrac { 1 }{ 3 } }$ is :

  1. $\cfrac { 1 }{ 4 } $
  2. $\cfrac { 5 }{ 4 } $
  3. $\cfrac { 1 }{ 3 } $
  4. $\cfrac { 5 }{ 12 } $
Reveal answer Fill a bubble to check yourself
B Correct answer