Evaluate
5\sqrt{2}+8\approx 15.071067812
Factor
5 \sqrt{2} + 8 = 15.071067812
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6+3\sqrt{2}+2\sqrt{2}+\left(\sqrt{2}\right)^{2}
Apply the distributive property by multiplying each term of 3+\sqrt{2} by each term of 2+\sqrt{2}.
6+5\sqrt{2}+\left(\sqrt{2}\right)^{2}
Combine 3\sqrt{2} and 2\sqrt{2} to get 5\sqrt{2}.
6+5\sqrt{2}+2
The square of \sqrt{2} is 2.
8+5\sqrt{2}
Add 6 and 2 to get 8.
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