5th root of 2.02625

asked by guest
on Mar 17, 2025 at 12:34 am



You asked:

Evaluate the expression: 2.026255\sqrt[5]{2.02625}

MathBot Answer:

2.026255=16215⋅53510\sqrt[5]{2.02625} = \frac{\sqrt[5]{1621} \cdot 5^{\frac{3}{5}}}{10}

2.026255=2+26251000005=2+218005=16218005=110⋅535⋅16215\begin{aligned}\sqrt[5]{2.02625}&=\sqrt[5]{2 + \frac{2625}{100000}}\\&=\sqrt[5]{2 + \frac{21}{800}}\\&=\sqrt[5]{\frac{1621}{800}}\\&=\frac{1}{10} \cdot 5^{\frac{3}{5}} \cdot \sqrt[5]{1621}\end{aligned}

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