The expression you provided is:

\[
\frac{3\sqrt{2}}{4} + 2\sqrt{5}
\]

This is a sum of two terms involving square roots. Since there are no like terms (i.e., no common radicals like \(\sqrt{2}\) or \(\sqrt{5}\) in both terms), we cannot combine them any further.

So, the simplified form of the expression is:

\[
\frac{3\sqrt{2}}{4} + 2\sqrt{5}
\]

Would you like more details about the steps involved?

Here are 5 questions related to this:

1. What are like terms when simplifying expressions with square roots?
2. How can square roots be simplified or combined?
3. Can square roots be rationalized? If so, how?
4. How do coefficients affect the simplification of terms involving square roots?
5. What are some practical applications of square roots in real-world problems?

**Tip**: When simplifying square root expressions, always check if the numbers inside the square roots can be simplified first (e.g., factor out perfect squares).

Learn how to simplify the radical expression 3√2 /4 + 2√5. This problem focuses on adding irrational numbers and radicals. Perfect for students in Grades 8-10 looking to improve their understanding of algebraic expressions involving square roots.

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