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The expression you've provided is:

\[
5\sqrt{2} + 5\sqrt{2}
\]

To simplify this:

1. Combine the like terms. Since both terms have the same radical (\(\sqrt{2}\)), you can add the coefficients (the numbers in front of the square roots):
   \[
   5\sqrt{2} + 5\sqrt{2} = (5 + 5)\sqrt{2} = 10\sqrt{2}
   \]

Thus, the simplified expression is:

\[
10\sqrt{2}
\]

Would you like more details or have any questions on this?

Here are five related questions for practice:
1. What is the value of \( 10\sqrt{2} \) in decimal form?
2. How would you simplify \( 7\sqrt{3} + 2\sqrt{3} \)?
3. Can you combine terms like \( 4\sqrt{5} + 3\sqrt{7} \)? Why or why not?
4. What is the result of subtracting \( 6\sqrt{2} - 4\sqrt{2} \)?
5. How would you simplify the expression \( 3\sqrt{8} + 2\sqrt{2} \)?

**Tip:** When simplifying square root expressions, always check if the terms have the same square root before combining them.

Learn how to simplify the expression 5√2 + 5√2 by combining like terms. This problem helps students understand the concept of adding radical expressions and is suitable for Grades 7-9.

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