https://file.aiquickdraw.com/mathbot/file/1726194769452wtz799xi.jpg

Let's go through the problems one by one.

### Problem 18:
\[
-3\sqrt{18} + 3\sqrt{8} - \sqrt{24}
\]
First, simplify the square roots:
- \(\sqrt{18} = \sqrt{9 \times 2} = 3\sqrt{2}\)
- \(\sqrt{8} = \sqrt{4 \times 2} = 2\sqrt{2}\)
- \(\sqrt{24} = \sqrt{4 \times 6} = 2\sqrt{6}\)

Now substitute them back into the expression:
\[
-3(3\sqrt{2}) + 3(2\sqrt{2}) - 2\sqrt{6}
\]
Simplify:
\[
-9\sqrt{2} + 6\sqrt{2} - 2\sqrt{6}
\]
\[
= -3\sqrt{2} - 2\sqrt{6}
\]

### Problem 20:
\[
-3\sqrt{5} - \sqrt{6} - \sqrt{5}
\]
Combine like terms:
\[
(-3\sqrt{5} - \sqrt{5}) - \sqrt{6}
\]
\[
= -4\sqrt{5} - \sqrt{6}
\]

### Problem 22:
\[
-3\sqrt{3} - \sqrt{8} - 3\sqrt{3}
\]
Simplify \(\sqrt{8}\):
\[
\sqrt{8} = 2\sqrt{2}
\]
Now substitute back:
\[
-3\sqrt{3} - 2\sqrt{2} - 3\sqrt{3}
\]
Combine like terms:
\[
-6\sqrt{3} - 2\sqrt{2}
\]

### Problem 24:
\[
2\sqrt{18} - 2\sqrt{12} + 2\sqrt{18}
\]
Simplify the square roots:
- \(\sqrt{18} = 3\sqrt{2}\)
- \(\sqrt{12} = 2\sqrt{3}\)

Substitute them back:
\[
2(3\sqrt{2}) - 2(2\sqrt{3}) + 2(3\sqrt{2})
\]
Simplify:
\[
6\sqrt{2} - 4\sqrt{3} + 6\sqrt{2}
\]
Combine like terms:
\[
12\sqrt{2} - 4\sqrt{3}
\]

---

Would you like more details or have any questions on these?  
Here are 5 related questions for further practice:
1. How do you simplify \(\sqrt{32}\)?
2. What is the result of \(5\sqrt{3} + 7\sqrt{3} - 3\sqrt{3}\)?
3. Can you combine \(4\sqrt{7} + 3\sqrt{5} - \sqrt{7}\)?
4. Simplify \(2\sqrt{50} - \sqrt{8} + 3\sqrt{18}\).
5. What is the result of \(\sqrt{72} + 4\sqrt{18} - \sqrt{32}\)?

**Tip:** Always look to simplify square roots first before performing operations like addition or subtraction.

-3√18 + 3√8 - √24, -3√5 - √6 - √5, -3√3 - √8 - 3√3, 2√18 - 2√12 + 2√18

Learn how to simplify expressions involving square roots like √18, √8, and √24. This step-by-step guide includes simplification techniques for radicals and combining like terms. Suitable for students in Grades 8-10.

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