3/4 + (1/2 + 1/4)^2 x 2
You asked:
Evaluate the expression: \(\frac{3}{4} + {\left( \frac{1}{2} + \frac{1}{4} \right)}^{2} \cdot 2\)
MathBot Answer:
\[\frac{3}{4} + {\left( \frac{1}{2} + \frac{1}{4} \right)}^{2} \cdot 2 = \frac{15}{8} = 1.875\]
\[\begin{aligned}\frac{3}{4} + {\left( \frac{1}{2} + \frac{1}{4} \right)}^{2} \cdot 2& = \frac{3}{4} + \left(\frac{1}{2} + \frac{1}{4}\right)^{2} \cdot 2\\& = \frac{3}{4} + \left(\frac{3}{4}\right)^{2} \cdot 2\\& = \frac{3}{4} + \frac{9}{16} \cdot 2\\& = \frac{3}{4} + \frac{9}{8}\\& = \frac{15}{8}\end{aligned}\]