Math Problem Solver

$$43.9 \sqrt{136.09} = \frac{439 \sqrt{13609}}{100} \approx 512.1269460788018328504337976578685$$

$$\begin{aligned}43.9 \sqrt{136.09}&=\left(43 + \frac{9}{10}\right) \cdot \sqrt{136 + \frac{9}{100}}\\&=\frac{439}{10} \cdot \sqrt{136 + \frac{9}{100}}\\&=\frac{439}{10} \cdot \sqrt{\frac{13609}{100}}\\&=\frac{439}{10} \cdot \frac{1}{10} \cdot \sqrt{13609}\\&=\frac{439}{100} \cdot \sqrt{13609}\end{aligned}$$