5√2.02625
asked by guest on Mar 17, 2025 at 12:33 am
You asked:
MathBot Answer:
52.02625=32428≈7.117320422743379620983388875948145 \sqrt{2.02625} = \frac{\sqrt{3242}}{8} \approx 7.1173204227433796209833888759481452.02625=83242≈7.11732042274337962098338887594814
52.02625=5⋅2+2625100000=5⋅2+21800=5⋅1621800=5⋅140⋅3242=18⋅3242\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}52.02625=5⋅2+1000002625=5⋅2+80021=5⋅8001621=5⋅401⋅3242=81⋅3242
