https://file.aiquickdraw.com/mathbot/file/1727372869041op2ds18r.jpg

The image contains two mathematical expressions involving square roots. Let's rewrite them to make the problem clearer:

1. \( \sqrt{20x} - \sqrt{45x} \)
2. \( \sqrt{12a^3} - \sqrt{3a^3} \)

Would you like me to simplify or solve these expressions? Let me know if you'd prefer further explanation on either topic.

Here are five related questions to expand your understanding:

1. How do you simplify square roots of variables like \( x \) or \( a \)?
2. What are the steps to combine radicals (e.g., square roots) when their terms involve variables?
3. Can you factor out common terms from square roots?
4. How do exponents interact with square roots when variables are involved?
5. What are some common mistakes when simplifying radical expressions?

**Tip:** Always try to factor numbers and variables inside the square root to see if you can simplify them!

Simplify the following expressions: a) \(\sqrt{20x} - \sqrt{45x}\), b) \(\sqrt{12a^3} - \sqrt{3a^3}\)

Learn how to simplify radical expressions such as \(\sqrt{20x} - \sqrt{45x}\) and \(\sqrt{12a^3} - \sqrt{3a^3}\) by factoring terms inside the square roots and combining like radicals. This topic is suitable for students in Grades 8-10.

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