5√1.61

asked by guest
on Jan 13, 2025 at 6:12 am



You asked:

Evaluate the expression: \(5 \sqrt{1.61}\)

MathBot Answer:

\[5 \sqrt{1.61} = \frac{\sqrt{161}}{2} \approx 6.34428877022476019009688637304474\]


\[\begin{aligned}5 \sqrt{1.61}& = 5 \cdot \sqrt{1 + \frac{61}{100}}\\& = 5 \cdot \sqrt{\frac{161}{100}}\\& = 5 \cdot \frac{1}{10} \cdot \sqrt{161}\\& = \frac{1}{2} \cdot \sqrt{161}\end{aligned}\]