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

Answer 1

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

1. Multiply the coefficients: \( 5 \times 6 = 30 \).
2. Multiply the square roots: \( \sqrt{19} \times \sqrt{2} = \sqrt{19 \times 2} = \sqrt{38} \).

Now combine both results:

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

So, the exact answer is:

\[ 30\sqrt{38} \]