Solve (1+2/i)^2

$$( 1 + \frac { 2 } { i } ) ^ { 2 }$$

Evaluate

$$-3-4i$$

Solution Steps

Multiply both numerator and denominator of \frac{2}{i} by imaginary unit i.

$$\left(1+\frac{2i}{-1}\right)^{2}$$

Divide 2i by -1 to get -2i.

$$\left(1-2i\right)^{2}$$

Calculate 1-2i to the power of 2 and get -3-4i.

$$-3-4i$$

Real Part

$$-3$$

Solution Steps

Multiply both numerator and denominator of \frac{2}{i} by imaginary unit i.

$$Re(\left(1+\frac{2i}{-1}\right)^{2})$$

Divide 2i by -1 to get -2i.

$$Re(\left(1-2i\right)^{2})$$

Calculate 1-2i to the power of 2 and get -3-4i.

$$Re(-3-4i)$$

The real part of -3-4i is -3.

$$-3$$