Evaluate
20-12\sqrt{2}\approx 3.029437252
Factor
4 {(5 - 3 \sqrt{2})} = 3.029437252
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2\left(\sqrt{2}\right)^{2}-8\sqrt{2}-4\sqrt{2}+16
Apply the distributive property by multiplying each term of 2\sqrt{2}-4 by each term of \sqrt{2}-4.
2\times 2-8\sqrt{2}-4\sqrt{2}+16
The square of \sqrt{2} is 2.
4-8\sqrt{2}-4\sqrt{2}+16
Multiply 2 and 2 to get 4.
4-12\sqrt{2}+16
Combine -8\sqrt{2} and -4\sqrt{2} to get -12\sqrt{2}.
20-12\sqrt{2}
Add 4 and 16 to get 20.
Examples
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Limits
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