Question
3sqrt5 times sevensqrt11
Answers
GPT-4o mini
To multiply \( 3\sqrt{5} \) by \( 7\sqrt{11} \), you can follow these steps:
1. Multiply the coefficients (the numbers outside the square roots):
\[
3 \times 7 = 21
\]
2. Multiply the square roots:
\[
\sqrt{5} \times \sqrt{11} = \sqrt{5 \times 11} = \sqrt{55}
\]
3. Combine the results:
\[
3\sqrt{5} \times 7\sqrt{11} = 21\sqrt{55}
\]
So, \( 3\sqrt{5} \times 7\sqrt{11} = 21\sqrt{55} \).
1. Multiply the coefficients (the numbers outside the square roots):
\[
3 \times 7 = 21
\]
2. Multiply the square roots:
\[
\sqrt{5} \times \sqrt{11} = \sqrt{5 \times 11} = \sqrt{55}
\]
3. Combine the results:
\[
3\sqrt{5} \times 7\sqrt{11} = 21\sqrt{55}
\]
So, \( 3\sqrt{5} \times 7\sqrt{11} = 21\sqrt{55} \).