To solve \( 24\sqrt{6732} \), we first evaluate \( \sqrt{6732} \).

1. Approximate \( \sqrt{6732} \):
\[
\sqrt{6732} \approx 82.04
\]

2. Multiply by 24:
\[
24 \times 82.04 \approx 1968.96
\]

Thus, \( 24\sqrt{6732} \approx 1968.96 \).

Would you like further details on the square root approximation or the multiplication?

Here are 5 related questions for further practice:
1. What is \( 12\sqrt{9801} \)?
2. Simplify \( 5\sqrt{3600} \).
3. Evaluate \( 40\sqrt{2025} \).
4. Calculate \( 3\sqrt{2500} \).
5. Find \( 15\sqrt{4900} \).

**Tip:** When working with large square roots, breaking down the number into prime factors can help simplify the calculation.

Learn how to solve 24√6732 by approximating the square root of 6732 and multiplying by 24. This guide provides detailed steps to simplify the problem using basic arithmetic and square root approximation. Suitable for students in Grades 9-10.

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