Solve 0.76+3.82texttt{i}-(3.82-0.76texttt{i})

$$0.76+3.82 \texttt{i} -(3.82-0.76 \texttt{i} )$$

Evaluate

$$-3.06+4.58i$$

Solution Steps

Subtract 3.82-0.76i from 0.76+3.82i by subtracting corresponding real and imaginary parts.

$$0.76-3.82+\left(3.82-\left(-0.76\right)\right)i$$

Subtract 3.82 from 0.76. Subtract -0.76 from 3.82.

$$-3.06+4.58i$$

Real Part

$$-3.06$$

Solution Steps

Subtract 3.82-0.76i from 0.76+3.82i by subtracting corresponding real and imaginary parts.

$$Re(0.76-3.82+\left(3.82-\left(-0.76\right)\right)i)$$

Subtract 3.82 from 0.76. Subtract -0.76 from 3.82.

$$Re(-3.06+4.58i)$$

The real part of -3.06+4.58i is -3.06.

$$-3.06$$