Evaluate
1+2i
Real Part
1
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\frac{5i}{2+i}
Calculate i to the power of 9 and get i.
\frac{5i\left(2-i\right)}{\left(2+i\right)\left(2-i\right)}
Multiply both numerator and denominator by the complex conjugate of the denominator, 2-i.
\frac{5+10i}{5}
Do the multiplications in \frac{5i\left(2-i\right)}{\left(2+i\right)\left(2-i\right)}.
1+2i
Divide 5+10i by 5 to get 1+2i.
Re(\frac{5i}{2+i})
Calculate i to the power of 9 and get i.
Re(\frac{5i\left(2-i\right)}{\left(2+i\right)\left(2-i\right)})
Multiply both numerator and denominator of \frac{5i}{2+i} by the complex conjugate of the denominator, 2-i.
Re(\frac{5+10i}{5})
Do the multiplications in \frac{5i\left(2-i\right)}{\left(2+i\right)\left(2-i\right)}.
Re(1+2i)
Divide 5+10i by 5 to get 1+2i.
1
The real part of 1+2i is 1.
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Matrix
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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