The expression you provided is:

\[
4\sqrt{5} + 5\sqrt{4}
\]

Let's simplify step by step:

1. \( \sqrt{5} \) remains as is since it's an irrational number.
2. \( \sqrt{4} = 2 \) since the square root of 4 is 2.

Now, substitute that back into the expression:

\[
4\sqrt{5} + 5 \times 2 = 4\sqrt{5} + 10
\]

Thus, the simplified form of the expression is:

\[
4\sqrt{5} + 10
\]

Would you like more details on any of the steps?

### Related Questions:
1. How do you simplify other square root expressions?
2. What are irrational numbers, and why is \( \sqrt{5} \) one of them?
3. How do you add or subtract terms involving square roots?
4. Can square roots of non-perfect squares be simplified further?
5. What is the difference between rational and irrational numbers?

**Tip:** When simplifying square root expressions, always look for perfect square factors to simplify them further.

Learn how to simplify the radical expression 4√5 + 5√4 with a detailed, step-by-step solution. This problem introduces key concepts like radical expressions, square roots, and basic operations with irrational numbers. Suitable for students in Grades 8-10.

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