Evaluate
3+3i
Real Part
3
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iii+iii+3+\left(4+1\right)i
Combine the real and imaginary parts.
iii+iii+3+5i
Add 4 to 1.
-i+iii+3+5i
Multiply i and i to get -1.
iii+3+\left(-1+5\right)i
Combine the real and imaginary parts.
iii+3+4i
Add -1 to 5.
-i+3+4i
Multiply i and i to get -1.
3+\left(-1+4\right)i
Combine the real and imaginary parts.
3+3i
Add -1 to 4.
Re(iii+iii+3+\left(4+1\right)i)
Combine the real and imaginary parts in 4i+i+3.
Re(iii+iii+3+5i)
Add 4 to 1.
Re(-i+iii+3+5i)
Multiply i and i to get -1.
Re(iii+3+\left(-1+5\right)i)
Combine the real and imaginary parts in -i+3+5i.
Re(iii+3+4i)
Add -1 to 5.
Re(-i+3+4i)
Multiply i and i to get -1.
Re(3+\left(-1+4\right)i)
Combine the real and imaginary parts in -i+3+4i.
Re(3+3i)
Add -1 to 4.
3
The real part of 3+3i 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}