Final answer:
To simplify the expression -11 sqrt 112, you factor 112 into 16 and 7, then take the square root of 16 to get 4. The expression simplifies to -44 sqrt 7.
Step-by-step explanation:
To simplify -11 sqrt 112, we need to break down the radical into perfect squares and simplify. We know that 112 can be factored into 16 * 7, where 16 is a perfect square.
Hence, the square root of 112 is the square root of 16 times the square root of 7, which simplifies to 4 times the square root of 7. Therefore, our original expression becomes -11 * 4 * sqrt 7, resulting in -44 * sqrt 7. So, the simplified form of the expression is -44 sqrt 7.