The expression $10\sqrt{8} + 10\sqrt{5}$ can be simplified as follows:

1. First, simplify the square root term if possible:

   $\sqrt{8} = \sqrt{4 \times 2} = \sqrt{4} \times \sqrt{2} = 2\sqrt{2}$

2. Substitute this into the expression:

   $10\sqrt{8} + 10\sqrt{5} = 10 \times 2\sqrt{2} + 10\sqrt{5} = 20\sqrt{2} + 10\sqrt{5}$

So, the simplified expression is:

$20\sqrt{2} + 10\sqrt{5}$

Would you like any more details or have any questions?

Here are some related questions you might find interesting:

1. How would you simplify $15\sqrt{12} + 5\sqrt{3}$?
2. What is the result of $5\sqrt{18} + 2\sqrt{50}$?
3. How do you add $7\sqrt{3}$ and $4\sqrt{12}$?
4. What is the simplified form of $3\sqrt{8} + 5\sqrt{32}$?
5. How do you factor and simplify $2\sqrt{75} + 4\sqrt{27}$?

Tip: When simplifying expressions with square roots, always look for factors of the radicand that are perfect squares to simplify further.