Evaluate
\frac{\sqrt{2}\left(\sqrt{6}+1\right)}{2}\approx 2.439157589
Factor
\frac{\sqrt{2} {(\sqrt{2} \sqrt{3} + 1)}}{2} = 2.439157588755425
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\frac{1}{2}\times 2\sqrt{3}+\frac{1}{2}\sqrt{2}
Use the distributive property to multiply \frac{1}{2} by 2\sqrt{3}+\sqrt{2}.
\sqrt{3}+\frac{1}{2}\sqrt{2}
Cancel out 2 and 2.
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