Evaluate
-4\sqrt{2}-6\approx -11.656854249
Expand
-4\sqrt{2}-6
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-\left(4+4\sqrt{2}+\left(\sqrt{2}\right)^{2}\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2+\sqrt{2}\right)^{2}.
-\left(4+4\sqrt{2}+2\right)
The square of \sqrt{2} is 2.
-\left(6+4\sqrt{2}\right)
Add 4 and 2 to get 6.
-6-4\sqrt{2}
To find the opposite of 6+4\sqrt{2}, find the opposite of each term.
-\left(4+4\sqrt{2}+\left(\sqrt{2}\right)^{2}\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2+\sqrt{2}\right)^{2}.
-\left(4+4\sqrt{2}+2\right)
The square of \sqrt{2} is 2.
-\left(6+4\sqrt{2}\right)
Add 4 and 2 to get 6.
-6-4\sqrt{2}
To find the opposite of 6+4\sqrt{2}, find the opposite of each term.
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Limits
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