Evaluate
6+7i
Real Part
6
Share
Copied to clipboard
2+8i+\left(4-i\right)
Use the distributive property to multiply 2i+1 by 4-i.
2+4+\left(8-1\right)i
Combine the real and imaginary parts in numbers 2+8i and 4-i.
6+7i
Add 2 to 4. Add 8 to -1.
Re(2+8i+\left(4-i\right))
Use the distributive property to multiply 2i+1 by 4-i.
Re(2+4+\left(8-1\right)i)
Combine the real and imaginary parts in numbers 2+8i and 4-i.
Re(6+7i)
Add 2 to 4. Add 8 to -1.
6
The real part of 6+7i is 6.
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}