https://file.aiquickdraw.com/mathbot/file/1726789677116bzj07zpt.jpg

The question in the image asks to find the indicated root of:

\[
\sqrt{-\frac{9}{169}}
\]

### Solution:
This involves finding the square root of a negative number, which leads to an imaginary number. Let's break it down:

\[
\sqrt{-\frac{9}{169}} = \sqrt{-1} \cdot \sqrt{\frac{9}{169}} = i \cdot \frac{3}{13} = \frac{3i}{13}
\]

Here:
- \(\sqrt{-1} = i\) (imaginary unit),
- \(\sqrt{\frac{9}{169}} = \frac{3}{13}\).

Thus, the correct answer is:

\[
\frac{3i}{13}
\]

Since the problem asks to select between two options, the correct choice is:

- **B.** \(\frac{9}{169}\) is **not a real number**.

Do you want more details on imaginary numbers or roots? Here are some related questions:

1. What is the concept of an imaginary number?
2. How do we simplify square roots of fractions?
3. What is the significance of the imaginary unit \(i\)?
4. Can you explain why a square root of a negative number is not real?
5. How can we apply complex numbers in real-world problems?

**Tip:** When working with square roots of negative numbers, always check if the root will result in an imaginary number.

Learn how to find the square root of a negative fraction such as -9/169. This problem explains the concept of imaginary numbers, including how to simplify square roots of fractions. Suitable for students in Grades 9-11.

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