Evaluate
-2\sqrt{3}i+4\approx 4-3.464101615i
Real Part
4
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6+i\sqrt{3}-i\sqrt{3}-\left(-3\right)+-5-2i\sqrt{3}
To find the opposite of i\sqrt{3}-3, find the opposite of each term.
6-\left(-3\right)+-5-2i\sqrt{3}
Combine i\sqrt{3} and -i\sqrt{3} to get 0.
6+3+-5-2i\sqrt{3}
The opposite of -3 is 3.
9+-5-2i\sqrt{3}
Add 6 and 3 to get 9.
4-2i\sqrt{3}
Subtract 5 from 9 to get 4.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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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}