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To find the square root of \(-20\), we need to recognize that the square root of a negative number involves imaginary numbers, since the square of any real number is non-negative.

The square root of \(-20\) can be expressed as:

\[
\sqrt{-20} = \sqrt{-1} \times \sqrt{20} = i \times \sqrt{20}
\]

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

Now, simplifying \(\sqrt{20}\):

\[
\sqrt{20} = \sqrt{4 \times 5} = \sqrt{4} \times \sqrt{5} = 2\sqrt{5}
\]

Thus, the square root of \(-20\) is:

\[
\sqrt{-20} = 2i\sqrt{5}
\]

So, the answer is:

\[
\boxed{2i\sqrt{5}}
\]

Would you like further explanation or details on this topic?

Here are some related questions for further exploration:
1. What are imaginary numbers, and how are they used in math?
2. How do you simplify expressions involving square roots of negative numbers?
3. What is the geometric interpretation of complex numbers?
4. Can you multiply or divide complex numbers in polar form?
5. How do you solve quadratic equations that have complex solutions?

**Tip**: When dealing with square roots of negative numbers, always remember to introduce the imaginary unit \(i = \sqrt{-1}\).

Learn how to find the square root of a negative number like -20 by using imaginary numbers and simplifying radicals. This guide covers essential algebraic concepts and steps through the solution √(-20) = 2i√5, perfect for students in Grades 9-12.

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