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To simplify \( \sqrt{-10} \), we must recognize that the square root of a negative number involves imaginary numbers. The square root of any negative number can be expressed in terms of \(i\), where \(i\) is the imaginary unit and \(i = \sqrt{-1}\).

Here's how we handle this:

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

Thus, the simplest radical form of \( \sqrt{-10} \) is:

\[
i\sqrt{10}
\]

Let me know if you would like further details or have any questions!

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Here are five related questions to expand your understanding:
1. How do you simplify the square root of any negative number?
2. What are the properties of the imaginary unit \(i\)?
3. Can you simplify expressions like \( \sqrt{-25} \)?
4. How are complex numbers represented in the form \(a + bi\)?
5. How do you add and subtract complex numbers?

**Tip:** Always remember that \( \sqrt{-1} \) is defined as the imaginary unit \(i\), and it is the key to simplifying square roots of negative numbers.

Learn how to simplify the square root of -10 into its simplest radical form. This problem introduces the concept of imaginary numbers and radicals, key for students in Grades 9-11. Understand the steps involved, including the use of the imaginary unit i, and apply this to similar problems.

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