To solve \( \sqrt{75} + \sqrt{3} \), let's simplify each square root:

1. \( \sqrt{75} = \sqrt{25 \times 3} = \sqrt{25} \times \sqrt{3} = 5\sqrt{3} \)

Now, add the two square roots:
\[
5\sqrt{3} + \sqrt{3} = (5+1)\sqrt{3} = 6\sqrt{3}
\]

So, the result is:
\[
\sqrt{75} + \sqrt{3} = 6\sqrt{3}
\]

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

Here are 5 related questions for practice:
1. Simplify \( \sqrt{50} + \sqrt{2} \).
2. What is \( \sqrt{12} + \sqrt{3} \)?
3. How would you simplify \( \sqrt{48} + \sqrt{3} \)?
4. Calculate \( \sqrt{27} + \sqrt{3} \).
5. Simplify \( \sqrt{18} + \sqrt{2} \).

**Tip:** When simplifying square roots, always check for perfect square factors inside the radicand to simplify further.

Learn how to simplify √75 + √3 using square root properties. This solution involves breaking down square roots into simpler forms, identifying perfect square factors, and combining like terms. Suitable for students in Grades 8-10.

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