multiply (5√19) (6√2) give the exact answer

Answer 1

To multiply \( (5\sqrt{19})(6\sqrt{2}) \), you can use the property of multiplication for square roots and constants. Here's how to do it step by step:

1. Multiply the coefficients (5 and 6): \[ 5 \times 6 = 30 \]

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: \[ 30\sqrt{38} \]