https://file.aiquickdraw.com/mathbot/file/1726533835958b41m4e1s.jpg

To solve the expression given in the problem:

\[ 6\sqrt{5} + \sqrt{5} - 20\sqrt{5} \]

we can factor out \(\sqrt{5}\) from each term:

\[
(6 + 1 - 20)\sqrt{5}
\]

Now, simplify the numbers inside the parentheses:

\[
(6 + 1 - 20) = -13
\]

So the expression becomes:

\[
-13\sqrt{5}
\]

Thus, the correct answer is:

\[
\boxed{-13\sqrt{5}}
\]

This corresponds to option **a**.

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Would you like a detailed explanation or have any questions? Here are some related problems you could explore:

1. Simplify \(3\sqrt{2} + 4\sqrt{2} - \sqrt{2}\).
2. Simplify \(5\sqrt{7} - 3\sqrt{7} + 8\sqrt{7}\).
3. What is the simplified form of \(2\sqrt{3} \times 4\sqrt{3}\)?
4. How do you simplify \(\sqrt{20} + \sqrt{45} - \sqrt{80}\)?
5. What is the value of \(\sqrt{5} \times \sqrt{20}\)?

**Tip**: When simplifying square roots, always look for like terms and factor them out!

Bentuk sederhana dari 6√5 + √5 − 20√5 adalah ......

This page provides a step-by-step guide on how to simplify the expression 6√5 + √5 − 20√5 by combining like terms. It covers key concepts such as radicals and like terms, suitable for Grades 9-10 students.

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