Multiply (5√19) ⋅ (6√2)

Question

Give an exact answer.(1 point)

Answer 1

To multiply \( (5\sqrt{19}) \cdot (6\sqrt{2}) \), you can simply multiply the coefficients and the square roots separately.

1. Multiply the coefficients: \[ 5 \cdot 6 = 30 \]

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

Now, combine the results: \[ (5\sqrt{19}) \cdot (6\sqrt{2}) = 30\sqrt{38} \]

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