Evaluate
2^{\frac{5}{2}}+6\approx 11.656854249
Expand
4 \sqrt{2} + 6 = 11.656854249
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\left(\sqrt{2}\right)^{2}+4\sqrt{2}+4
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(\sqrt{2}+2\right)^{2}.
2+4\sqrt{2}+4
The square of \sqrt{2} is 2.
6+4\sqrt{2}
Add 2 and 4 to get 6.
\left(\sqrt{2}\right)^{2}+4\sqrt{2}+4
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(\sqrt{2}+2\right)^{2}.
2+4\sqrt{2}+4
The square of \sqrt{2} is 2.
6+4\sqrt{2}
Add 2 and 4 to get 6.
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