Evaluate
2+5i
Real Part
2
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-2+4i+\left(8+2i\right)-1\left(4+i\right)
Multiply 1 and 8+2i to get 8+2i.
-2+8+\left(4+2\right)i-1\left(4+i\right)
Combine the real and imaginary parts in numbers -2+4i and 8+2i.
6+6i-1\left(4+i\right)
Add -2 to 8. Add 4 to 2.
6+6i-\left(4+i\right)
Multiply 1 and 4+i to get 4+i.
6-4+\left(6-1\right)i
Subtract 4+i from 6+6i by subtracting corresponding real and imaginary parts.
2+5i
Subtract 4 from 6. Subtract 1 from 6.
Re(-2+4i+\left(8+2i\right)-1\left(4+i\right))
Multiply 1 and 8+2i to get 8+2i.
Re(-2+8+\left(4+2\right)i-1\left(4+i\right))
Combine the real and imaginary parts in numbers -2+4i and 8+2i.
Re(6+6i-1\left(4+i\right))
Add -2 to 8. Add 4 to 2.
Re(6+6i-\left(4+i\right))
Multiply 1 and 4+i to get 4+i.
Re(6-4+\left(6-1\right)i)
Subtract 4+i from 6+6i by subtracting corresponding real and imaginary parts.
Re(2+5i)
Subtract 4 from 6. Subtract 1 from 6.
2
The real part of 2+5i is 2.
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}