Evaluate
\frac{\sqrt{6}}{2}+\sqrt{2}\approx 2.638958434
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\frac{\left(2+\sqrt{3}\right)\sqrt{2}}{2}
Express \frac{2+\sqrt{3}}{2}\sqrt{2} as a single fraction.
\frac{2\sqrt{2}+\sqrt{3}\sqrt{2}}{2}
Use the distributive property to multiply 2+\sqrt{3} by \sqrt{2}.
\frac{2\sqrt{2}+\sqrt{6}}{2}
To multiply \sqrt{3} and \sqrt{2}, multiply the numbers under the square root.
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