Question
3sqrt5 * 7sqrt11
Answers
GPT-4o mini
To simplify the expression \( 3\sqrt{5} \times 7\sqrt{11} \), you can follow these steps:
1. Multiply the coefficients (the numbers outside the square roots): \( 3 \times 7 = 21 \).
2. Multiply the terms under the square roots: \( \sqrt{5} \times \sqrt{11} = \sqrt{5 \times 11} = \sqrt{55} \).
Putting it all together, you get:
\[
3\sqrt{5} \times 7\sqrt{11} = 21\sqrt{55}
\]
So, the final answer is:
\[
21\sqrt{55}
\]
1. Multiply the coefficients (the numbers outside the square roots): \( 3 \times 7 = 21 \).
2. Multiply the terms under the square roots: \( \sqrt{5} \times \sqrt{11} = \sqrt{5 \times 11} = \sqrt{55} \).
Putting it all together, you get:
\[
3\sqrt{5} \times 7\sqrt{11} = 21\sqrt{55}
\]
So, the final answer is:
\[
21\sqrt{55}
\]