To solve for \( x \) in the equation
\[ \frac{x}{6} = 16, \]
start by isolating \( x \). Multiply both sides of the equation by 6:
\[ x = 16 \times 6. \]
Calculating the right side gives:
\[ x = 96. \]
Now, to express \( x \) with a radical symbol, we can rewrite 96 in terms of radicals. Notably, we recognize:
\[ 96 = 16 \times 6 = 16 \times (2 \sqrt{6}) = 4^2 \times (2 \sqrt{6}). \]
But to clearly express 96 using a radical, it can be factored as:
\[ 96 = 4 \sqrt{144}. \]
Thus, we can write it as:
\[ x = 4\sqrt{24}. \]
However, the simplest radical form for \( x \):
\[ x = 8\sqrt{6}. \]
So, the positive value of \( x \) expressed with a radical symbol is
\[ \boxed{8\sqrt{6}}. \]
Note: Here, \( x = 96 \) is still the simplest numerical value; without a requirement for a radical form specifically written in terms of smaller components, \( x = 96 \) is often preferred as the immediate numerical solution.