Solve the equation: `2x^(2)-6sqrt(2)x-1=0`

Options

A. roots are rational
B. roots are irrational
C. if one root is `(p+sqrt(q))`, the other is `(-p+sqrt(q))`
D. if one roots is `(p+sqrt(q))` the other is `(p-sqrt(q))`

Explanation

As the coefficient are not rational, irratiional roots
Here `alpha +beta=3sqrt(2)` and `alpha beta=-1/2`
Let `alpha =p+sqrt(q)`, then prove that other roots `beta=-p+sqrt(q)`