Evaluate
2\sqrt{2}+22\approx 24.828427125
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24-4\sqrt{2}+6\sqrt{2}-\left(\sqrt{2}\right)^{2}
Apply the distributive property by multiplying each term of 4+\sqrt{2} by each term of 6-\sqrt{2}.
24+2\sqrt{2}-\left(\sqrt{2}\right)^{2}
Combine -4\sqrt{2} and 6\sqrt{2} to get 2\sqrt{2}.
24+2\sqrt{2}-2
The square of \sqrt{2} is 2.
22+2\sqrt{2}
Subtract 2 from 24 to get 22.
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