For 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

To solve the equation \(2x^2 - 6\sqrt{2}x - 1 = 0\), we will follow these steps:

### Step 1: Identify the coefficients
The given quadratic equation is in the standard form \(ax^2 + bx + c = 0\), where:
- \(a = 2\)
- \(b = -6\sqrt{2}\)
- \(c = -1\)

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