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The expression you provided is \( 10 \sqrt{75} \). Let's simplify it step by step.

1. Break down \( \sqrt{75} \):
   \[
   \sqrt{75} = \sqrt{25 \times 3} = \sqrt{25} \times \sqrt{3} = 5\sqrt{3}
   \]

2. Multiply the result by 10:
   \[
   10 \times 5\sqrt{3} = 50\sqrt{3}
   \]

So, \( 10 \sqrt{75} \) simplifies to \( 50 \sqrt{3} \).

Would you like further details or have any questions?

Here are five related questions for practice:
1. How would you simplify \( 8 \sqrt{50} \)?
2. What is the simplified form of \( 12 \sqrt{27} \)?
3. Can you break down \( \sqrt{200} \) into its simplest form?
4. How do you simplify \( 15 \sqrt{45} \)?
5. What is the simplified version of \( 7 \sqrt{18} \)?

**Tip:** Always look for perfect square factors when simplifying square roots.

Learn how to simplify the square root expression 10√75. We break down √75 into √25 * √3 to get 50√3. This problem covers key algebraic concepts like simplifying square roots and is suitable for students in Grades 6-8.

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