Evaluate
33-2\sqrt{2}\approx 30.171572875
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35+5\sqrt{2}-7\sqrt{2}-\left(\sqrt{2}\right)^{2}
Apply the distributive property by multiplying each term of 5-\sqrt{2} by each term of 7+\sqrt{2}.
35-2\sqrt{2}-\left(\sqrt{2}\right)^{2}
Combine 5\sqrt{2} and -7\sqrt{2} to get -2\sqrt{2}.
35-2\sqrt{2}-2
The square of \sqrt{2} is 2.
33-2\sqrt{2}
Subtract 2 from 35 to get 33.
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