Evaluate
-2\sqrt{2}-13\approx -15.828427125
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\left(\sqrt{2}\right)^{2}-5\sqrt{2}+3\sqrt{2}-15
Apply the distributive property by multiplying each term of \sqrt{2}+3 by each term of \sqrt{2}-5.
2-5\sqrt{2}+3\sqrt{2}-15
The square of \sqrt{2} is 2.
2-2\sqrt{2}-15
Combine -5\sqrt{2} and 3\sqrt{2} to get -2\sqrt{2}.
-13-2\sqrt{2}
Subtract 15 from 2 to get -13.
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