11th root of 1.9991680532

asked by guest
on Apr 09, 2025 at 10:23 pm



You asked:

Evaluate the expression: 1.999168053211\sqrt[11]{1.9991680532}

MathBot Answer:

1.999168053211=1999168053201110≈1.06500080648063087897092556864316\sqrt[11]{1.9991680532} = \frac{\sqrt[11]{199916805320}}{10} \approx 1.06500080648063087897092556864316

1.999168053211=1+99916805321000000000011=1+2497920133250000000011=4997920133250000000011=110⋅19991680532011\begin{aligned}\sqrt[11]{1.9991680532}&=\sqrt[11]{1 + \frac{9991680532}{10000000000}}\\&=\sqrt[11]{1 + \frac{2497920133}{2500000000}}\\&=\sqrt[11]{\frac{4997920133}{2500000000}}\\&=\frac{1}{10} \cdot \sqrt[11]{199916805320}\end{aligned}

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