https://file.aiquickdraw.com/mathbot/file/1727098956812i6o81u5z.jpg

The expression in the image is:

\[
\sqrt{200} - 5\sqrt{2}
\]

### Let's simplify it:

1. Break down \(\sqrt{200}\):
   \[
   \sqrt{200} = \sqrt{100 \times 2} = \sqrt{100} \times \sqrt{2} = 10\sqrt{2}
   \]

2. Now substitute back into the expression:
   \[
   10\sqrt{2} - 5\sqrt{2}
   \]

3. Combine the like terms:
   \[
   (10 - 5)\sqrt{2} = 5\sqrt{2}
   \]

### Final simplified form:
\[
5\sqrt{2}
\]

Would you like further clarification or have any more questions on this?

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Here are some related questions you might explore:
1. What is the value of \( \sqrt{2} \) approximated to two decimal places?
2. How do you simplify more complex square root expressions?
3. What are the rules for combining radicals?
4. Can all radicals be simplified like in this case?
5. What is the geometric interpretation of square roots?

**Tip**: Always break down larger square roots into factors for easier simplification!

Learn how to simplify the expression √200 - 5√2 by breaking down square roots and combining like terms. This step-by-step solution covers important algebraic concepts, such as simplifying radicals and combining terms. Suitable for students in Grades 9-11.

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