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What is the simplified form of √(-48)?

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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.

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