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6-\left(6\sqrt{2}+\left(\sqrt{2}\right)^{2}\right)
Use the distributive property to multiply \sqrt{2} by 6+\sqrt{2}.
6-\left(6\sqrt{2}+2\right)
The square of \sqrt{2} is 2.
6-6\sqrt{2}-2
To find the opposite of 6\sqrt{2}+2, find the opposite of each term.
4-6\sqrt{2}
Subtract 2 from 6 to get 4.