Evaluate
8
Real Part
8
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\frac{5-i^{2}\left(\sqrt{11}\right)^{2}}{2}
Expand \left(i\sqrt{11}\right)^{2}.
\frac{5-\left(-\left(\sqrt{11}\right)^{2}\right)}{2}
Calculate i to the power of 2 and get -1.
\frac{5-\left(-11\right)}{2}
The square of \sqrt{11} is 11.
\frac{5+11}{2}
The opposite of -11 is 11.
\frac{16}{2}
Add 5 and 11 to get 16.
8
Divide 16 by 2 to get 8.
Re(\frac{5-i^{2}\left(\sqrt{11}\right)^{2}}{2})
Expand \left(i\sqrt{11}\right)^{2}.
Re(\frac{5-\left(-\left(\sqrt{11}\right)^{2}\right)}{2})
Calculate i to the power of 2 and get -1.
Re(\frac{5-\left(-11\right)}{2})
The square of \sqrt{11} is 11.
Re(\frac{5+11}{2})
The opposite of -11 is 11.
Re(\frac{16}{2})
Add 5 and 11 to get 16.
Re(8)
Divide 16 by 2 to get 8.
8
The real part of 8 is 8.
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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}