Multiply 5√19 6√2. Give an exact answer.

Answer 1

To multiply \( 5\sqrt{19} \) and \( 6\sqrt{2} \), follow these steps:

1. Multiply the coefficients (the numbers outside the square roots): \[ 5 \times 6 = 30 \]

2. Multiply the square roots: \[ \sqrt{19} \times \sqrt{2} = \sqrt{19 \times 2} = \sqrt{38} \]

3. Combine the results: \[ 5\sqrt{19} \times 6\sqrt{2} = 30\sqrt{38} \]

Thus, the exact answer is: \[ 30\sqrt{38} \]