Multiply (5√19 ) (6√2)

. Give an exact answer.

1 answer

To multiply \( (5\sqrt{19})(6\sqrt{2}) \), we can multiply the coefficients and the square roots separately:

\[ 5 \cdot 6 = 30 \]

Next, we multiply the square roots:

\[ \sqrt{19} \cdot \sqrt{2} = \sqrt{19 \cdot 2} = \sqrt{38} \]

Now, we can combine the two results:

\[ (5\sqrt{19})(6\sqrt{2}) = 30\sqrt{38} \]

Thus, the exact answer is:

\[ \boxed{30\sqrt{38}} \]