Evaluate
7-6i
Real Part
7
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-\sqrt{-25}+5+2-i
Combine the real and imaginary parts.
-\sqrt{-25}+7-i
Add 5 to 2.
-5i+7-i
Calculate the square root of -25 and get 5i.
7+\left(-5-1\right)i
Combine the real and imaginary parts.
7-6i
Add -5 to -1.
Re(-\sqrt{-25}+5+2-i)
Combine the real and imaginary parts in 5-i+2.
Re(-\sqrt{-25}+7-i)
Add 5 to 2.
Re(-5i+7-i)
Calculate the square root of -25 and get 5i.
Re(7+\left(-5-1\right)i)
Combine the real and imaginary parts in -5i+7-i.
Re(7-6i)
Add -5 to -1.
7
The real part of 7-6i is 7.
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}