Multiple choice

If $\alpha , \beta $are roots of equation $x ^ { 2 } - 7 x + 8 = 0$, then equation whose roots are $\left( \dfrac { \alpha ^ { 2 } } { \beta } \right) ^ { \dfrac { 1 } { 3 } } & \left( \dfrac { \beta ^ { 2 } } { \alpha } \right) ^ { \dfrac { 1 } { 3 } }$ is

Reveal answer Fill a bubble to check yourself

If $\alpha , \beta $are roots of equation $x ^ { 2 } - 7 x + 8 = 0$, then equation whose roots are $\left( \dfrac { \alpha ^ { 2 } } { \beta } \right) ^ { \dfrac { 1 } { 3 } } &amp; \left( \dfrac { \beta ^ { 2 } } { \alpha } \right) ^ { \dfrac { 1 } { 3 } }$ is