Evaluate
3\sqrt{2}+4\approx 8.242640687
Factor
3 \sqrt{2} + 4 = 8.242640687
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2+\sqrt{2}+2\sqrt{2}+\left(\sqrt{2}\right)^{2}
Apply the distributive property by multiplying each term of 1+\sqrt{2} by each term of 2+\sqrt{2}.
2+3\sqrt{2}+\left(\sqrt{2}\right)^{2}
Combine \sqrt{2} and 2\sqrt{2} to get 3\sqrt{2}.
2+3\sqrt{2}+2
The square of \sqrt{2} is 2.
4+3\sqrt{2}
Add 2 and 2 to get 4.
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