Evaluate
\sqrt{5}\approx 2.236067977
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\frac{1}{2}\sqrt{7}+\frac{1}{2}\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}\sqrt{7}-\frac{1}{2}\left(-1\right)\sqrt{5}
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}\sqrt{7}+\frac{1}{2}\sqrt{5}
Multiply -\frac{1}{2} and -1 to get \frac{1}{2}.
\frac{1}{2}\sqrt{5}+\frac{1}{2}\sqrt{5}
Combine \frac{1}{2}\sqrt{7} and -\frac{1}{2}\sqrt{7} to get 0.
\sqrt{5}
Combine \frac{1}{2}\sqrt{5} and \frac{1}{2}\sqrt{5} to get \sqrt{5}.
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