Let's simplify the expression \( 3\sqrt{5}(4\sqrt{2}) \).

1. Multiply the constants: \( 3 \times 4 = 12 \).
2. Now, multiply the square roots: \( \sqrt{5} \times \sqrt{2} = \sqrt{10} \).

So, the simplified expression is:

\[
12\sqrt{10}
\]

Would you like further details on this simplification or have any questions?

Here are five related questions for practice:
1. Simplify \( 2\sqrt{3} \times 5\sqrt{7} \).
2. Simplify \( \sqrt{12} \times \sqrt{3} \).
3. Multiply \( 6\sqrt{2} \times 4\sqrt{5} \).
4. Simplify \( 7\sqrt{11} \times 3\sqrt{2} \).
5. Simplify \( 8\sqrt{6} \times 2\sqrt{3} \).

**Tip**: When multiplying square roots, remember \( \sqrt{a} \times \sqrt{b} = \sqrt{a \times b} \).

Learn how to simplify the expression 3√5(4√2) with step-by-step guidance. This problem covers key algebraic concepts, including multiplication of radicals and constants. Suitable for students in Grades 8-10.

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