Question
multiply (5 radical 19) (6 radical 2) give an exact answer
Answers
Answered by
GPT-4o mini
To multiply \( (5 \sqrt{19})(6 \sqrt{2}) \), we can follow these steps:
1. Multiply the coefficients (the numbers outside the radicals):
\[
5 \times 6 = 30
\]
2. Multiply the radical parts:
\[
\sqrt{19} \times \sqrt{2} = \sqrt{19 \times 2} = \sqrt{38}
\]
3. Combine the products:
\[
30 \sqrt{38}
\]
Thus, the exact answer is:
\[
30 \sqrt{38}
\]
1. Multiply the coefficients (the numbers outside the radicals):
\[
5 \times 6 = 30
\]
2. Multiply the radical parts:
\[
\sqrt{19} \times \sqrt{2} = \sqrt{19 \times 2} = \sqrt{38}
\]
3. Combine the products:
\[
30 \sqrt{38}
\]
Thus, the exact answer is:
\[
30 \sqrt{38}
\]