Evaluate
3-2i
Real Part
3
Share
Copied to clipboard
1-3+\left(-3-2\right)i-\left(-5-3i\right)
Combine the real and imaginary parts in 1-3i-3-2i.
-2-5i-\left(-5-3i\right)
Do the additions in 1-3+\left(-3-2\right)i.
-2-5i+\left(5+3i\right)
The opposite of -5-3i is 5+3i.
-2+5+\left(-5+3\right)i
Combine the real and imaginary parts in numbers -2-5i and 5+3i.
3-2i
Add -2 to 5. Add -5 to 3.
Re(1-3+\left(-3-2\right)i-\left(-5-3i\right))
Combine the real and imaginary parts in 1-3i-3-2i.
Re(-2-5i-\left(-5-3i\right))
Do the additions in 1-3+\left(-3-2\right)i.
Re(-2-5i+\left(5+3i\right))
The opposite of -5-3i is 5+3i.
Re(-2+5+\left(-5+3\right)i)
Combine the real and imaginary parts in numbers -2-5i and 5+3i.
Re(3-2i)
Add -2 to 5. Add -5 to 3.
3
The real part of 3-2i is 3.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}