1. The problem is to simplify the expression $6\sqrt{3}$. 2. The expression consists of a coefficient 6 multiplied by the square root of 3. 3. Since 6 is a whole number and $\sqrt{3}$ is an irrational number, the expression is already in its simplest form. 4. There are no like terms to combine or factors to simplify further. 5. Therefore, the simplified form of the expression is $6\sqrt{3}$.