Let's simplify the given expression:

\[
18\sqrt{25} + \sqrt{75}
\]

### Step 1: Simplify the square roots.
- \( \sqrt{25} = 5 \)
- \( \sqrt{75} = \sqrt{25 \times 3} = 5\sqrt{3} \)

### Step 2: Substitute the simplified values back into the expression.
\[
18\sqrt{25} + \sqrt{75} = 18(5) + 5\sqrt{3}
\]

\[
= 90 + 5\sqrt{3}
\]

### Final answer:
\[
90 + 5\sqrt{3}
\]

Let me know if you want more details, or have any questions!

Here are 5 related questions for further exploration:
1. How would you simplify \( 3\sqrt{50} + 2\sqrt{75} \)?
2. What is the value of \( \sqrt{45} + \sqrt{80} \)?
3. How can you add or subtract radicals with different square roots?
4. How do you rationalize a denominator containing a square root?
5. What is the result of \( \sqrt{72} - \sqrt{50} \)?

**Tip:** When simplifying square roots, always look for perfect squares that can be factored out for easier calculations.

Learn how to simplify the expression 18√25 + √75 with a step-by-step solution. This problem focuses on key mathematical concepts like simplifying square roots and adding radicals. Suitable for students in Grades 8-10.

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