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