Multiply (5√19)(6√2)

Question

. Give an exact answer.

Answer 1

To multiply the two expressions \( (5\sqrt{19})(6\sqrt{2}) \), you can 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: \[ (5\sqrt{19})(6\sqrt{2}) = 30\sqrt{38} \]

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