√31.56

asked by guest
on Nov 25, 2024 at 9:45 pm



You asked:

Evaluate the expression: \(\sqrt{31.56}\)

MathBot Answer:

\[\sqrt{31.56} = \frac{\sqrt{789}}{5} \approx 5.61782876207525570748202315698239\]


\[\begin{aligned}\sqrt{31.56}& = \sqrt{31 + \frac{56}{100}}\\& = \sqrt{31 + \frac{14}{25}}\\& = \sqrt{\frac{789}{25}}\\& = \frac{1}{5} \cdot \sqrt{789}\end{aligned}\]