https://file.aiquickdraw.com/mathbot/file/1727010103878biklgfkb.jpg

Let's go through the questions in the image one by one.

### Question 1:
**Expression**: 
\[ 2\sqrt{2} - \sqrt{3} + 5\sqrt{3} - \sqrt{2} \]

**Simplification**:
- Group the terms involving \(\sqrt{2}\) and \(\sqrt{3}\):
  \[
  (2\sqrt{2} - \sqrt{2}) + (-\sqrt{3} + 5\sqrt{3})
  \]
  Simplify each part:
  \[
  (2 - 1)\sqrt{2} = \sqrt{2}
  \]
  \[
  (-1 + 5)\sqrt{3} = 4\sqrt{3}
  \]
  
Thus, the simplified expression is:
\[ \sqrt{2} + 4\sqrt{3} \]

The correct answer is **option A**.

---

### Question 2:
**Expression**:
\[ 4\sqrt{5} + 5\sqrt{6} - 9\sqrt{5} - \sqrt{2} \times 10\sqrt{3} \]

**Simplification**:
- First, group the terms involving \(\sqrt{5}\) and \(\sqrt{6}\):
  \[
  (4\sqrt{5} - 9\sqrt{5}) + (5\sqrt{6})
  \]
  Simplify the \(\sqrt{5}\) terms:
  \[
  (4 - 9)\sqrt{5} = -5\sqrt{5}
  \]
  Also, note that \(\sqrt{2} \times 10\sqrt{3}\) simplifies as follows:
  \[
  \sqrt{2} \times 10\sqrt{3} = 10\sqrt{6}
  \]
  So, the expression becomes:
  \[
  -5\sqrt{5} + 5\sqrt{6} - 10\sqrt{6}
  \]
  Simplify the \(\sqrt{6}\) terms:
  \[
  (5 - 10)\sqrt{6} = -5\sqrt{6}
  \]

Thus, the final simplified expression is:
\[ -5\sqrt{5} - 5\sqrt{6} \]

The correct answer is **option B**.

---

Do you need further details on any step? Here are 5 related questions for additional practice:

1. Simplify \( 3\sqrt{7} - 2\sqrt{7} + 5\sqrt{3} - 4\sqrt{3} \).
2. Combine like terms in the expression \( 7\sqrt{6} - 3\sqrt{6} + 4\sqrt{2} \).
3. Simplify \( 6\sqrt{2} - 4\sqrt{2} + 9\sqrt{5} - 9\sqrt{5} \).
4. How would you simplify \( 12\sqrt{3} - 7\sqrt{3} + 3\sqrt{2} - 5\sqrt{2} \)?
5. What is the result of \( \sqrt{8} + 3\sqrt{2} - 2\sqrt{8} \)?

**Tip**: Always group like terms (terms with the same square root) before simplifying to make the process easier.

1. Bentuk sederhana dari operasi 2√2 − √3 + 5√3 − √2 adalah? 2. Bentuk sederhana dari operasi 4√5 + 5√6 − 9√5 − √2 × 10√3 adalah?

Learn how to simplify expressions involving square roots like 2√2 − √3 + 5√3 − √2. The problem covers key concepts of algebra and radical simplification. Suitable for Grades 9-11.

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