Evaluate
\frac{225546057073705577-199453942926294423\sqrt{2}}{12500000000000000}\approx -4.521953127
Factor
\frac{225546057073705577 - 199453942926294423 \sqrt{2}}{12500000000000000} = -4.5219531265159425
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34 - 102 {(1 + \sqrt{2})} 0.15643446504023092
Evaluate trigonometric functions in the problem
34-15.95631543410355384\left(1+\sqrt{2}\right)
Multiply 0.15643446504023092 and 102 to get 15.95631543410355384.
34-15.95631543410355384-15.95631543410355384\sqrt{2}
Use the distributive property to multiply -15.95631543410355384 by 1+\sqrt{2}.
18.04368456589644616-15.95631543410355384\sqrt{2}
Subtract 15.95631543410355384 from 34 to get 18.04368456589644616.
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