10th root of 2.02625

asked by guest
on Mar 17, 2025 at 12:37 am



You asked:

Evaluate the expression: 2.0262510\sqrt[10]{2.02625}

MathBot Answer:

2.0262510=1621102⋅54510\sqrt[10]{2.02625} = \frac{\sqrt[10]{1621} \sqrt{2} \cdot 5^{\frac{4}{5}}}{10}

2.0262510=2+262510000010=2+2180010=162180010=110⋅2⋅545⋅162110\begin{aligned}\sqrt[10]{2.02625}&=\sqrt[10]{2 + \frac{2625}{100000}}\\&=\sqrt[10]{2 + \frac{21}{800}}\\&=\sqrt[10]{\frac{1621}{800}}\\&=\frac{1}{10} \cdot \sqrt{2} \cdot 5^{\frac{4}{5}} \cdot \sqrt[10]{1621}\end{aligned}

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