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The question is asking for the square root of \(-16\).

To solve this, recall that the square root of a negative number involves imaginary numbers. The square root of \(-1\) is represented by the imaginary unit \(i\), where:

\[
i = \sqrt{-1}
\]

For \(-16\), we break it down as follows:

\[
\sqrt{-16} = \sqrt{16} \times \sqrt{-1} = 4i
\]

Thus, the square root of \(-16\) is \(4i\).

The correct answer is **\(4i\)** (the last option).

Would you like further details or have any questions?

Here are five related questions for further practice:
1. What is the square root of \(-25\)?
2. How do you simplify \(\sqrt{-9}\)?
3. What is the value of \(i^2\)?
4. How do you multiply two complex numbers involving \(i\)?
5. What is the meaning of an imaginary number?

**Tip:** When dealing with square roots of negative numbers, always remember that they involve imaginary numbers, represented by \(i\).

Which of the following is the square root of -16?

This problem involves finding the square root of -16 using imaginary numbers. The square root of -16 is 4i. Learn more about imaginary numbers, their properties, and how they are used to solve square roots of negative numbers.

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