https://file.aiquickdraw.com/mathbot/file/1728445320396s2y2crvy.jpg

The expression shown in the image is \( \sqrt{-10} \). This is the square root of a negative number, which means the solution involves imaginary numbers.

To simplify \( \sqrt{-10} \):

\[
\sqrt{-10} = \sqrt{-1 \times 10} = \sqrt{-1} \times \sqrt{10} = i \times \sqrt{10}
\]

So, the simplified form of \( \sqrt{-10} \) is:

\[
i\sqrt{10}
\]

Where \( i \) is the imaginary unit, defined as \( i = \sqrt{-1} \).

Would you like more details or have any questions?

Here are 5 related questions for further practice:
1. What is \( \sqrt{-25} \)?
2. How do you simplify \( \sqrt{-36} \)?
3. What is the value of \( i^2 \) in complex numbers?
4. How do you add \( \sqrt{-9} \) and \( \sqrt{-4} \)?
5. What is the simplified form of \( \frac{\sqrt{-20}}{2} \)?

**Tip**: When working with square roots of negative numbers, always remember that they result in imaginary numbers, involving the unit \( i \).

Learn how to simplify √-10 using imaginary numbers. This problem involves key mathematical concepts such as square roots and imaginary units, including the formula √(-x) = i√x. Suitable for students in Grades 9-12.

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