3/4+7/10(2/5-(-i/2))

asked by guest
on Oct 05, 2024 at 8:25 am



You asked:

Evaluate the expression: \(\frac{3}{4} + \frac{7}{10 \cdot \left(\frac{2}{5} - \frac{-i}{2}\right)}\)

MathBot Answer:

Evaluated



\(\displaystyle \frac{3}{4} + \frac{7}{10 \cdot \left(\frac{2}{5} - \frac{-i}{2}\right)} = \frac{3}{4} + \frac{7 \cdot \left(4 - 5 i\right)}{41} \)


Expanded

\[\frac{3}{4} + \frac{7}{10 \cdot \left(\frac{2}{5} - \frac{-i}{2}\right)} = \frac{235}{164} - \frac{35 i}{41}\]


\(i\) is the imaginary unit, defined as \(i^2 = -1\).