Evaluate
\sqrt{7}\approx 2.645751311
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\frac{1}{2}\sqrt{7}+\frac{1}{2}\left(-1\right)\sqrt{5}+\frac{1}{2}\left(\sqrt{7}+\sqrt{5}\right)
Use the distributive property to multiply \frac{1}{2} by \sqrt{7}-\sqrt{5}.
\frac{1}{2}\sqrt{7}-\frac{1}{2}\sqrt{5}+\frac{1}{2}\left(\sqrt{7}+\sqrt{5}\right)
Multiply \frac{1}{2} and -1 to get -\frac{1}{2}.
\frac{1}{2}\sqrt{7}-\frac{1}{2}\sqrt{5}+\frac{1}{2}\sqrt{7}+\frac{1}{2}\sqrt{5}
Use the distributive property to multiply \frac{1}{2} by \sqrt{7}+\sqrt{5}.
\sqrt{7}-\frac{1}{2}\sqrt{5}+\frac{1}{2}\sqrt{5}
Combine \frac{1}{2}\sqrt{7} and \frac{1}{2}\sqrt{7} to get \sqrt{7}.
\sqrt{7}
Combine -\frac{1}{2}\sqrt{5} and \frac{1}{2}\sqrt{5} to get 0.
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