https://file.aiquickdraw.com/mathbot/file/172709394944343m8ugpt.jpg

The expression in the image is:

\[
2 \sqrt{125} + 3 \sqrt{45} - \sqrt{20}
\]

### Step-by-step simplification:

1. **Simplify each square root:**

   - \( \sqrt{125} = \sqrt{25 \times 5} = 5\sqrt{5} \)
   - \( \sqrt{45} = \sqrt{9 \times 5} = 3\sqrt{5} \)
   - \( \sqrt{20} = \sqrt{4 \times 5} = 2\sqrt{5} \)

2. **Substitute these simplified forms into the original expression:**

   \[
   2(5\sqrt{5}) + 3(3\sqrt{5}) - 2\sqrt{5}
   \]

3. **Multiply the coefficients:**

   \[
   10\sqrt{5} + 9\sqrt{5} - 2\sqrt{5}
   \]

4. **Combine like terms (all terms have \( \sqrt{5} \)):**

   \[
   (10 + 9 - 2) \sqrt{5} = 17\sqrt{5}
   \]

### Final Answer:
\[
17\sqrt{5}
\]

Would you like more details or have any questions about the steps?

Here are 5 related questions to deepen your understanding:
1. How can you simplify square roots involving perfect squares?
2. What is the general process for combining like terms with radicals?
3. Can you apply this process to expressions involving cube roots?
4. How would you expand this expression if it involved addition under the square root?
5. How can this type of problem be solved using a calculator?

**Tip:** Always look for factors that are perfect squares when simplifying square roots.

Learn how to simplify the expression 2√125 + 3√45 - √20. This step-by-step solution covers simplifying square roots and combining like terms with radicals, suitable for students in Grades 8-10.

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