1. The problem is to calculate 2 multiplied by the square root of 11. 2. The square root function is denoted as $\sqrt{\cdot}$ and it means the number which when multiplied by itself gives the original number. 3. Here, we need to multiply 2 by $\sqrt{11}$. 4. So the expression is $2 \times \sqrt{11}$. 5. Since $\sqrt{11}$ is an irrational number approximately equal to 3.3166, multiplying by 2 gives approximately $2 \times 3.3166 = 6.6332$. 6. Therefore, the exact answer is $2\sqrt{11}$ and the approximate decimal value is 6.6332.