1. The problem is to simplify the expression $30 \times \sqrt{3}$. 2. Recall that $\sqrt{3}$ is an irrational number approximately equal to 1.732. 3. To simplify, multiply 30 by $\sqrt{3}$ directly: $$30 \times \sqrt{3}$$ 4. This expression is already in its simplest exact form because $\sqrt{3}$ cannot be simplified further. 5. If you want a decimal approximation, calculate: $$30 \times 1.732 = 51.96$$ 6. Therefore, the exact answer is $30\sqrt{3}$ and the approximate decimal value is 51.96.