To multiply the expression \((\frac{5}{19})(6\sqrt{2})\), you can follow these steps:
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Multiply the numbers outside the fraction: \[ 5 \times 6 = 30 \]
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The expression then becomes: \[ \frac{30\sqrt{2}}{19} \]
So, the exact answer is: \[ \frac{30\sqrt{2}}{19} \]