Let alpha ,beta be the roots of the qua...

Let `alpha ,beta ` be the roots of the quadratic equation `x^2+sqrt6x +3=0`. Then `(alpha^23+beta^23+alpha^14+beta^14)/(alpha^(15)+beta^15+alpha^10+beta ^10) ` is equal to

A

`729`

B

`72`

C

`81`

D

`9`

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