Evaluate
2\sqrt{2}+3\approx 5.828427125
Expand
2 \sqrt{2} + 3 = 5.828427125
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\left(\sqrt{2}\right)^{2}+2\sqrt{2}+1
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(\sqrt{2}+1\right)^{2}.
2+2\sqrt{2}+1
The square of \sqrt{2} is 2.
3+2\sqrt{2}
Add 2 and 1 to get 3.
\left(\sqrt{2}\right)^{2}+2\sqrt{2}+1
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(\sqrt{2}+1\right)^{2}.
2+2\sqrt{2}+1
The square of \sqrt{2} is 2.
3+2\sqrt{2}
Add 2 and 1 to get 3.
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