If `alpha, beta and gamma` are the roots of the equation `x^(3) + 3x^(2) - 24x + 1 = 0`
then find the value of `(3sqrt(alpha)+3sqrt(beta)+ 3sqrt(gamma)).`

Explanation

To solve the problem, we need to find the value of \(3\sqrt{\alpha} + 3\sqrt{\beta} + 3\sqrt{\gamma}\) where \(\alpha\), \(\beta\), and \(\gamma\) are the roots of the polynomial equation \(x^3 + 3x^2 - 24x + 1 = 0\).

### Step 1: Identify the polynomial and its roots
The given polynomial is:
\[ f(x) = x^3 + 3x^2 - 24x + 1 \]
We know that \(\alpha\), \(\beta\), and \(\gamma\) are the roots of this polynomial.
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