Math Problem Solver

\[6.5 \cdot \sqrt{703.326} = \frac{13 \sqrt{1758315}}{100} \approx 172.38191175410487365848334145838213\]

\[\begin{aligned}6.5 \cdot \sqrt{703.326}& = \left(6 + \frac{5}{10}\right) \cdot \sqrt{703 + \frac{326}{1000}}\\& = \left(6 + \frac{1}{2}\right) \cdot \sqrt{703 + \frac{326}{1000}}\\& = \frac{13}{2} \cdot \sqrt{703 + \frac{326}{1000}}\\& = \frac{13}{2} \cdot \sqrt{703 + \frac{163}{500}}\\& = \frac{13}{2} \cdot \sqrt{\frac{351663}{500}}\\& = \frac{13}{2} \cdot \frac{1}{50} \cdot \sqrt{1758315}\\& = \frac{13}{100} \cdot \sqrt{1758315}\end{aligned}\]