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