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\frac{5\sqrt{2}}{2}\sqrt{3}
Divide 1 by \frac{2}{5\sqrt{2}} by multiplying 1 by the reciprocal of \frac{2}{5\sqrt{2}}.
\frac{5\sqrt{2}\sqrt{3}}{2}
Express \frac{5\sqrt{2}}{2}\sqrt{3} as a single fraction.
\frac{5\sqrt{6}}{2}
To multiply \sqrt{2} and \sqrt{3}, multiply the numbers under the square root.