Solve -4-14i/12*-4+14i/12

$$\frac { - 4 - 14 i } { 12 } \times \frac { - 4 + 14 i } { 12 }$$

Evaluate

$$\frac{53}{36}\approx 1.472222222$$

Solution Steps

Divide -4-14i by 12 to get -\frac{1}{3}-\frac{7}{6}i.

$$\left(-\frac{1}{3}-\frac{7}{6}i\right)\times \frac{-4+14i}{12}$$

Divide -4+14i by 12 to get -\frac{1}{3}+\frac{7}{6}i.

$$\left(-\frac{1}{3}-\frac{7}{6}i\right)\left(-\frac{1}{3}+\frac{7}{6}i\right)$$

Multiply -\frac{1}{3}-\frac{7}{6}i and -\frac{1}{3}+\frac{7}{6}i to get \frac{53}{36}.

$$\frac{53}{36}$$

Real Part

$$\frac{53}{36} = 1\frac{17}{36} = 1.4722222222222223$$

Solution Steps

Divide -4-14i by 12 to get -\frac{1}{3}-\frac{7}{6}i.

$$Re(\left(-\frac{1}{3}-\frac{7}{6}i\right)\times \frac{-4+14i}{12})$$

Divide -4+14i by 12 to get -\frac{1}{3}+\frac{7}{6}i.

$$Re(\left(-\frac{1}{3}-\frac{7}{6}i\right)\left(-\frac{1}{3}+\frac{7}{6}i\right))$$

Multiply -\frac{1}{3}-\frac{7}{6}i and -\frac{1}{3}+\frac{7}{6}i to get \frac{53}{36}.

$$Re(\frac{53}{36})$$

The real part of \frac{53}{36} is \frac{53}{36}.

$$\frac{53}{36}$$