Final answer:
The simplified form of √(-48) is 4i√3.
Step-by-step explanation:
To simplify the expression √(-48), we can break it down into separate parts. First, we know that the square root of a negative number is not a real number. However, we can rewrite the expression as √(-1) * √(48). The square root of -1 is represented by the imaginary unit 'i', so the simplified form of √(-48) is i√48.
To further simplify, we can find the square root of 48. The prime factorization of 48 is 2^4 * 3. Taking the square root of each factor, we get 2^2 * √3. Therefore, the simplified form of √(-48) is i * 4√3, or 4i√3.