\frac{-\sqrt{2}+1}{-1}
asked by guest on Apr 01, 2025 at 1:46 pm
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MathBot Answer:
−2+1−1=−1+2≈0.4142135623730950488016887242097\frac{-\sqrt{2} + 1}{-1} = -1 + \sqrt{2} \approx 0.4142135623730950488016887242097−1−2+1=−1+2≈0.4142135623730950488016887242097
−2+1−1=(−2+1)⋅1−1=(1−2)⋅1−1=−1+2\begin{aligned}\frac{-\sqrt{2} + 1}{-1}&=\left(- \sqrt{2} + 1\right) \cdot \frac{1}{-1}\\&=\left(1 - \sqrt{2}\right) \cdot \frac{1}{-1}\\&=-1 + \sqrt{2}\end{aligned}−1−2+1=(−2+1)⋅−11=(1−2)⋅−11=−1+2
