square root of 318.75

asked by guest
on Jan 26, 2025 at 7:08 am



You asked:

Evaluate the expression: \(\sqrt{318.75}\)

MathBot Answer:

\[\sqrt{318.75} = \frac{5 \sqrt{51}}{2} \approx 17.85357107135712499499849952841816\]


\[\begin{aligned}\sqrt{318.75}& = \sqrt{318 + \frac{75}{100}}\\& = \sqrt{318 + \frac{3}{4}}\\& = \sqrt{\frac{1275}{4}}\\& = \frac{5}{2} \cdot \sqrt{51}\end{aligned}\]