2\sqrt{2}2 - 11.651^{1.65}11.65
asked by guest on Mar 13, 2025 at 1:13 pm
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MathBot Answer:
2−11.65=−1+2≈0.4142135623730950488016887242097\sqrt{2} - {1}^{1.65} = -1 + \sqrt{2} \approx 0.41421356237309504880168872420972−11.65=−1+2≈0.4142135623730950488016887242097
2−11.65=2−11+65100=2−11+1320=2−13320=2−1=−1+2\begin{aligned}\sqrt{2} - {1}^{1.65}&=\sqrt{2} - 1^{1 + \frac{65}{100}}\\&=\sqrt{2} - 1^{1 + \frac{13}{20}}\\&=\sqrt{2} - 1^{\frac{33}{20}}\\&=\sqrt{2} - 1\\&=-1 + \sqrt{2}\end{aligned}2−11.65=2−11+10065=2−11+2013=2−12033=2−1=−1+2
