https://file.aiquickdraw.com/mathbot/file/1727354828850i7f5k0i0.jpg

The expression in the image is:

\[
\sqrt{72} - 4\sqrt{18} + 2\sqrt{50} - 4\sqrt{18}
\]

### Step-by-Step Solution:

1. **Simplify each square root:**
   - \(\sqrt{72} = \sqrt{36 \times 2} = 6\sqrt{2}\)
   - \(\sqrt{18} = \sqrt{9 \times 2} = 3\sqrt{2}\)
   - \(\sqrt{50} = \sqrt{25 \times 2} = 5\sqrt{2}\)

2. **Substitute these simplified values into the expression:**
   \[
   6\sqrt{2} - 4(3\sqrt{2}) + 2(5\sqrt{2}) - 4(3\sqrt{2})
   \]

3. **Distribute the constants:**
   \[
   6\sqrt{2} - 12\sqrt{2} + 10\sqrt{2} - 12\sqrt{2}
   \]

4. **Combine like terms (all terms are multiples of \(\sqrt{2}\)):**
   \[
   (6 - 12 + 10 - 12)\sqrt{2} = (-8)\sqrt{2}
   \]

Thus, the simplified result is:

\[
-8\sqrt{2}
\]

Would you like further clarification on any step or more details on a specific part of this process?

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Here are five related questions you could explore:
1. How do you simplify a square root with non-perfect squares?
2. What is the general process for combining like terms with square roots?
3. Can you express \( \sqrt{72} - 4\sqrt{18} + 2\sqrt{50} \) as a decimal approximation?
4. How can you solve equations involving radicals like this one?
5. What are the properties of square roots that allow such simplifications?

**Tip:** Always look for the largest perfect square factor when simplifying square roots.

Simplify the expression: √72 - 4√18 + 2√50 - 4√18

Learn how to simplify the expression √72 - 4√18 + 2√50 - 4√18 step-by-step. This problem covers simplifying square roots and combining like terms. Suitable for Grades 8-10.

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