Evaluate
24-7i
Real Part
24
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11\times 2+11\left(-i\right)+2i\times 2+2\left(-1\right)i^{2}
Multiply complex numbers 11+2i and 2-i like you multiply binomials.
11\times 2+11\left(-i\right)+2i\times 2+2\left(-1\right)\left(-1\right)
By definition, i^{2} is -1.
22-11i+4i+2
Do the multiplications.
22+2+\left(-11+4\right)i
Combine the real and imaginary parts.
24-7i
Do the additions.
Re(11\times 2+11\left(-i\right)+2i\times 2+2\left(-1\right)i^{2})
Multiply complex numbers 11+2i and 2-i like you multiply binomials.
Re(11\times 2+11\left(-i\right)+2i\times 2+2\left(-1\right)\left(-1\right))
By definition, i^{2} is -1.
Re(22-11i+4i+2)
Do the multiplications in 11\times 2+11\left(-i\right)+2i\times 2+2\left(-1\right)\left(-1\right).
Re(22+2+\left(-11+4\right)i)
Combine the real and imaginary parts in 22-11i+4i+2.
Re(24-7i)
Do the additions in 22+2+\left(-11+4\right)i.
24
The real part of 24-7i is 24.
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