Evaluate
3.2+2.7i
Real Part
3.2
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1.2+0.7i-\left(2i\left(-1\right)+2i^{2}\right)
Multiply 2i times -1+i.
1.2+0.7i-\left(2i\left(-1\right)+2\left(-1\right)\right)
By definition, i^{2} is -1.
1.2+0.7i-\left(-2-2i\right)
Do the multiplications in 2i\left(-1\right)+2\left(-1\right). Reorder the terms.
1.2+0.7i+\left(2+2i\right)
The opposite of -2-2i is 2+2i.
1.2+2+\left(0.7+2\right)i
Combine the real and imaginary parts in numbers 1.2+0.7i and 2+2i.
3.2+2.7i
Add 1.2 to 2. Add 0.7 to 2.
Re(1.2+0.7i-\left(2i\left(-1\right)+2i^{2}\right))
Multiply 2i times -1+i.
Re(1.2+0.7i-\left(2i\left(-1\right)+2\left(-1\right)\right))
By definition, i^{2} is -1.
Re(1.2+0.7i-\left(-2-2i\right))
Do the multiplications in 2i\left(-1\right)+2\left(-1\right). Reorder the terms.
Re(1.2+0.7i+\left(2+2i\right))
The opposite of -2-2i is 2+2i.
Re(1.2+2+\left(0.7+2\right)i)
Combine the real and imaginary parts in numbers 1.2+0.7i and 2+2i.
Re(3.2+2.7i)
Add 1.2 to 2. Add 0.7 to 2.
3.2
The real part of 3.2+2.7i is 3.2.
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