Evaluate
7+6i
Real Part
7
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2\times 4+2i+4i+i^{2}
Multiply complex numbers 2+i and 4+i like you multiply binomials.
2\times 4+2i+4i-1
By definition, i^{2} is -1.
8+2i+4i-1
Do the multiplications.
8-1+\left(2+4\right)i
Combine the real and imaginary parts.
7+6i
Do the additions.
Re(2\times 4+2i+4i+i^{2})
Multiply complex numbers 2+i and 4+i like you multiply binomials.
Re(2\times 4+2i+4i-1)
By definition, i^{2} is -1.
Re(8+2i+4i-1)
Do the multiplications in 2\times 4+2i+4i-1.
Re(8-1+\left(2+4\right)i)
Combine the real and imaginary parts in 8+2i+4i-1.
Re(7+6i)
Do the additions in 8-1+\left(2+4\right)i.
7
The real part of 7+6i is 7.
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