Evaluate
114+19i
Real Part
114
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19i\times 1+19\left(-6\right)i^{2}
Multiply 19i times 1-6i.
19i\times 1+19\left(-6\right)\left(-1\right)
By definition, i^{2} is -1.
114+19i
Do the multiplications. Reorder the terms.
Re(19i\times 1+19\left(-6\right)i^{2})
Multiply 19i times 1-6i.
Re(19i\times 1+19\left(-6\right)\left(-1\right))
By definition, i^{2} is -1.
Re(114+19i)
Do the multiplications in 19i\times 1+19\left(-6\right)\left(-1\right). Reorder the terms.
114
The real part of 114+19i is 114.
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