Evaluate
3+5i
Real Part
3
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-1-\left(-2\right)+i+\left(5-i\right)-\left(3-7i\right)
Subtract -2+i from -1 by subtracting corresponding real and imaginary parts.
1-i+\left(5-i\right)-\left(3-7i\right)
Subtract -2 from -1.
1+5+\left(-1-1\right)i-\left(3-7i\right)
Combine the real and imaginary parts in numbers 1-i and 5-i.
6-2i-\left(3-7i\right)
Add 1 to 5. Add -1 to -1.
6-3+\left(-2-\left(-7\right)\right)i
Subtract 3-7i from 6-2i by subtracting corresponding real and imaginary parts.
3+5i
Subtract 3 from 6. Subtract -7 from -2.
Re(-1-\left(-2\right)+i+\left(5-i\right)-\left(3-7i\right))
Subtract -2+i from -1 by subtracting corresponding real and imaginary parts.
Re(1-i+\left(5-i\right)-\left(3-7i\right))
Subtract -2 from -1.
Re(1+5+\left(-1-1\right)i-\left(3-7i\right))
Combine the real and imaginary parts in numbers 1-i and 5-i.
Re(6-2i-\left(3-7i\right))
Add 1 to 5. Add -1 to -1.
Re(6-3+\left(-2-\left(-7\right)\right)i)
Subtract 3-7i from 6-2i by subtracting corresponding real and imaginary parts.
Re(3+5i)
Subtract 3 from 6. Subtract -7 from -2.
3
The real part of 3+5i 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}