Evaluate
79+16i
Real Part
79
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-8\left(-8\right)-8\times \left(-5i\right)+3i\left(-8\right)+3\left(-5\right)i^{2}
Multiply complex numbers -8+3i and -8-5i like you multiply binomials.
-8\left(-8\right)-8\times \left(-5i\right)+3i\left(-8\right)+3\left(-5\right)\left(-1\right)
By definition, i^{2} is -1.
64+40i-24i+15
Do the multiplications.
64+15+\left(40-24\right)i
Combine the real and imaginary parts.
79+16i
Do the additions.
Re(-8\left(-8\right)-8\times \left(-5i\right)+3i\left(-8\right)+3\left(-5\right)i^{2})
Multiply complex numbers -8+3i and -8-5i like you multiply binomials.
Re(-8\left(-8\right)-8\times \left(-5i\right)+3i\left(-8\right)+3\left(-5\right)\left(-1\right))
By definition, i^{2} is -1.
Re(64+40i-24i+15)
Do the multiplications in -8\left(-8\right)-8\times \left(-5i\right)+3i\left(-8\right)+3\left(-5\right)\left(-1\right).
Re(64+15+\left(40-24\right)i)
Combine the real and imaginary parts in 64+40i-24i+15.
Re(79+16i)
Do the additions in 64+15+\left(40-24\right)i.
79
The real part of 79+16i is 79.
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