Evaluate
24+10i
Real Part
24
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-1-\left(-5i\right)+5i\times 1+5\left(-5\right)i^{2}
Multiply complex numbers -1+5i and 1-5i like you multiply binomials.
-1-\left(-5i\right)+5i\times 1+5\left(-5\right)\left(-1\right)
By definition, i^{2} is -1.
-1+5i+5i+25
Do the multiplications.
-1+25+\left(5+5\right)i
Combine the real and imaginary parts.
24+10i
Do the additions.
Re(-1-\left(-5i\right)+5i\times 1+5\left(-5\right)i^{2})
Multiply complex numbers -1+5i and 1-5i like you multiply binomials.
Re(-1-\left(-5i\right)+5i\times 1+5\left(-5\right)\left(-1\right))
By definition, i^{2} is -1.
Re(-1+5i+5i+25)
Do the multiplications in -1-\left(-5i\right)+5i\times 1+5\left(-5\right)\left(-1\right).
Re(-1+25+\left(5+5\right)i)
Combine the real and imaginary parts in -1+5i+5i+25.
Re(24+10i)
Do the additions in -1+25+\left(5+5\right)i.
24
The real part of 24+10i is 24.
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