Evaluate
\sqrt{6}+\frac{25}{4}\approx 8.699489743
Expand
\sqrt{6} + \frac{25}{4} = 8.699489743
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\frac{1}{4}+\sqrt{6}+\left(\sqrt{6}\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(\frac{1}{2}+\sqrt{6}\right)^{2}.
\frac{1}{4}+\sqrt{6}+6
The square of \sqrt{6} is 6.
\frac{25}{4}+\sqrt{6}
Add \frac{1}{4} and 6 to get \frac{25}{4}.
\frac{1}{4}+\sqrt{6}+\left(\sqrt{6}\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(\frac{1}{2}+\sqrt{6}\right)^{2}.
\frac{1}{4}+\sqrt{6}+6
The square of \sqrt{6} is 6.
\frac{25}{4}+\sqrt{6}
Add \frac{1}{4} and 6 to get \frac{25}{4}.
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