Multiply (5√19)(6√2)

Question

. Give an exact answer. (1 point)

Answer 1

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

\[ 5 \times 6 = 30 \]

And for the square roots:

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

Now, combine the two results:

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

Thus, the exact answer is:

\[ 30\sqrt{38} \]