Evaluate
\sqrt{2}+28\approx 29.414213562
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30-5\sqrt{2}+6\sqrt{2}-\left(\sqrt{2}\right)^{2}
Apply the distributive property by multiplying each term of 5+\sqrt{2} by each term of 6-\sqrt{2}.
30+\sqrt{2}-\left(\sqrt{2}\right)^{2}
Combine -5\sqrt{2} and 6\sqrt{2} to get \sqrt{2}.
30+\sqrt{2}-2
The square of \sqrt{2} is 2.
28+\sqrt{2}
Subtract 2 from 30 to get 28.
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