multiply (5 radical 19) (6 radical 2) give an exact answer

Answer 1

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: \[ 30 \sqrt{38} \]