5√2.02625

asked by guest
on Mar 17, 2025 at 12:33 am



You asked:

Evaluate the expression: 52.026255 \sqrt{2.02625}

MathBot Answer:

52.02625=324287.117320422743379620983388875948145 \sqrt{2.02625} = \frac{\sqrt{3242}}{8} \approx 7.11732042274337962098338887594814


52.02625=52+2625100000=52+21800=51621800=51403242=183242\begin{aligned}5 \sqrt{2.02625}&=5 \cdot \sqrt{2 + \frac{2625}{100000}}\\&=5 \cdot \sqrt{2 + \frac{21}{800}}\\&=5 \cdot \sqrt{\frac{1621}{800}}\\&=5 \cdot \frac{1}{40} \cdot \sqrt{3242}\\&=\frac{1}{8} \cdot \sqrt{3242}\end{aligned}