To simplify \( \sqrt{20} + \sqrt{80} \), let's break down each square root.

1. \( \sqrt{20} = \sqrt{4 \times 5} = \sqrt{4} \times \sqrt{5} = 2\sqrt{5} \)
2. \( \sqrt{80} = \sqrt{16 \times 5} = \sqrt{16} \times \sqrt{5} = 4\sqrt{5} \)

Now, add the terms:

\[
2\sqrt{5} + 4\sqrt{5} = (2 + 4)\sqrt{5} = 6\sqrt{5}
\]

So, \( \sqrt{20} + \sqrt{80} = 6\sqrt{5} \).

Would you like more details or have any other questions?

Here are 5 related questions to explore:

1. How do you simplify square roots of non-perfect squares?
2. What are the properties of square roots in multiplication and addition?
3. Can square roots of negative numbers be simplified using imaginary numbers?
4. What is the process of rationalizing a denominator involving square roots?
5. How do you simplify an expression like \( \sqrt{45} + \sqrt{125} \)?

**Tip:** Always try to factor numbers under the square root into their largest perfect square factor for easier simplification.

Understand how to simplify the expression √20 + √80 using square root properties. Learn how to break down square roots and combine like terms. Suitable for students in Grades 7-9.

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