Evaluate
13-2\sqrt{2}\approx 10.171572875
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15+3\sqrt{2}-5\sqrt{2}-\left(\sqrt{2}\right)^{2}
Apply the distributive property by multiplying each term of 3-\sqrt{2} by each term of 5+\sqrt{2}.
15-2\sqrt{2}-\left(\sqrt{2}\right)^{2}
Combine 3\sqrt{2} and -5\sqrt{2} to get -2\sqrt{2}.
15-2\sqrt{2}-2
The square of \sqrt{2} is 2.
13-2\sqrt{2}
Subtract 2 from 15 to get 13.
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