Evaluate
59-30\sqrt{2}\approx 16.573593129
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59-30\sqrt{2}
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25\left(\sqrt{2}\right)^{2}-30\sqrt{2}+9
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(5\sqrt{2}-3\right)^{2}.
25\times 2-30\sqrt{2}+9
The square of \sqrt{2} is 2.
50-30\sqrt{2}+9
Multiply 25 and 2 to get 50.
59-30\sqrt{2}
Add 50 and 9 to get 59.
25\left(\sqrt{2}\right)^{2}-30\sqrt{2}+9
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(5\sqrt{2}-3\right)^{2}.
25\times 2-30\sqrt{2}+9
The square of \sqrt{2} is 2.
50-30\sqrt{2}+9
Multiply 25 and 2 to get 50.
59-30\sqrt{2}
Add 50 and 9 to get 59.
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