Evaluate
417-40\sqrt{17}\approx 252.075774975
Factor
417-40\sqrt{17}
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\left(20-\sqrt{17}\right)^{2}
Multiply 20-\sqrt{17} and 20-\sqrt{17} to get \left(20-\sqrt{17}\right)^{2}.
400-40\sqrt{17}+\left(\sqrt{17}\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(20-\sqrt{17}\right)^{2}.
400-40\sqrt{17}+17
The square of \sqrt{17} is 17.
417-40\sqrt{17}
Add 400 and 17 to get 417.
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