Trying to solve the recurrence relation by comparing 3 cases of master theorem
You determine $a$, $b$, and $f$ using pattern matching.

The Master theorem applies for recurrences of the form

$\qquad\displaystyle T(n) = a T(n/b) + f(n)$;

you have

$\qquad\displaystyle T(n) = \sqrt{6006} \cdot T(n/2) + n^{\sqrt{6006}}$.

Just by comparing the two formulae, you determine that

$\qquad\begin{align*}
  a &amp;= \sqrt{6006},\\
  b &amp;= 2, \quad\text{and} \\
  f &amp;= n \mapsto n^{\sqrt{6006}}.
\end{align*}$

Now you go through the three cases and check which applies (if any). See also here.