11.25^1/2

asked by guest
on Nov 22, 2024 at 10:27 am



You asked:

Evaluate the expression: \(\frac{{11.25}^{1}}{2}\)

MathBot Answer:

\[\frac{{11.25}^{1}}{2} = \frac{45}{8} = 5.625\]


\[\begin{aligned}\frac{{11.25}^{1}}{2}& = \left(11 + \frac{25}{100}\right)^{1} \cdot \frac{1}{2}\\& = \left(11 + \frac{1}{4}\right)^{1} \cdot \frac{1}{2}\\& = \left(\frac{45}{4}\right)^{1} \cdot \frac{1}{2}\\& = \frac{45}{4} \cdot \frac{1}{2}\\& = \frac{45}{8}\end{aligned}\]