Evaluate
11+10i
Real Part
11
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3\times 1+3\times \left(4i\right)-2i-2\times 4i^{2}
Multiply complex numbers 3-2i and 1+4i like you multiply binomials.
3\times 1+3\times \left(4i\right)-2i-2\times 4\left(-1\right)
By definition, i^{2} is -1.
3+12i-2i+8
Do the multiplications.
3+8+\left(12-2\right)i
Combine the real and imaginary parts.
11+10i
Do the additions.
Re(3\times 1+3\times \left(4i\right)-2i-2\times 4i^{2})
Multiply complex numbers 3-2i and 1+4i like you multiply binomials.
Re(3\times 1+3\times \left(4i\right)-2i-2\times 4\left(-1\right))
By definition, i^{2} is -1.
Re(3+12i-2i+8)
Do the multiplications in 3\times 1+3\times \left(4i\right)-2i-2\times 4\left(-1\right).
Re(3+8+\left(12-2\right)i)
Combine the real and imaginary parts in 3+12i-2i+8.
Re(11+10i)
Do the additions in 3+8+\left(12-2\right)i.
11
The real part of 11+10i is 11.
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Limits
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