846000÷23.3^3 ÷ √1243
You asked:
Evaluate the expression: \(\frac{\frac{846000}{{23.3}^{3}}}{\sqrt{1243}}\)
MathBot Answer:
\[\frac{\frac{846000}{{23.3}^{3}}}{\sqrt{1243}} = \frac{846000000 \sqrt{1243}}{15723125891} \approx 1.8969987103537525420829763192437\]
\[\begin{aligned}\frac{\frac{846000}{{23.3}^{3}}}{\sqrt{1243}}& = 846000 \cdot \frac{1}{\left(23 + \frac{3}{10}\right)^{3}} \cdot \frac{1}{\sqrt{1243}}\\& = 846000 \cdot \frac{1}{\left(\frac{233}{10}\right)^{3}} \cdot \frac{1}{\sqrt{1243}}\\& = 846000 \cdot \frac{1}{\frac{12649337}{1000}} \cdot \frac{1}{\sqrt{1243}}\\& = 846000 \cdot \frac{1000}{12649337} \cdot \frac{1}{\sqrt{1243}}\\& = 846000 \cdot \frac{1000}{15723125891} \cdot \sqrt{1243}\\& = \frac{846000000}{15723125891} \cdot \sqrt{1243}\end{aligned}\]