Final answer:
The square root of -44 is simplified by factoring into the square root of -1 and the square root of 44, which results in 2i times the square root of 11. Therefore, the correct answer is B.
Step-by-step explanation:
To simplify the square root of -44, we first note that the square root of any negative number involves the imaginary unit i, where i is defined as the square root of -1.
We can factor -44 into -1 and 44, then take the square root of each part separately:
√(-44) = √(-1 × 44) = √(-1) × √(44)
Since √(-1) is i and √(44) can be further simplified as √(4 × 11), which is 2√11, the expression becomes:
√(-44) = i × 2√(11)
Therefore, the simplified form of √(-44) is 2i square root of 11.
Therefore, the correct answer is B.