5th root of 2.02625
asked by guest on Mar 17, 2025 at 12:34 am
You asked:
MathBot Answer:
2.026255=16215⋅53510\sqrt[5]{2.02625} = \frac{\sqrt[5]{1621} \cdot 5^{\frac{3}{5}}}{10}52.02625=1051621⋅553
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}52.02625=52+1000002625=52+80021=58001621=101⋅553⋅51621