Whakaoti i te -3/2+3i/2/sqrt{2}

$$- \frac { \frac { 3 } { 2 } + \frac { 3 i } { 2 } } { \sqrt { 2 } }$$

Aromātai

$$\sqrt{2}\left(-\frac{3}{4}-\frac{3}{4}i\right)\approx -1.060660172-1.060660172i$$

Ngā Upane Otinga

Whakawehea te 3i ki te 2, kia riro ko \frac{3}{2}i.

$$-\frac{\frac{3}{2}+\frac{3}{2}i}{\sqrt{2}}$$

Whakangāwaritia te tauraro o \frac{\frac{3}{2}+\frac{3}{2}i}{\sqrt{2}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{2}.

$$-\frac{\left(\frac{3}{2}+\frac{3}{2}i\right)\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

Ko te pūrua o \sqrt{2} ko 2.

$$-\frac{\left(\frac{3}{2}+\frac{3}{2}i\right)\sqrt{2}}{2}$$

Whakawehea te \left(\frac{3}{2}+\frac{3}{2}i\right)\sqrt{2} ki te 2, kia riro ko \left(\frac{3}{4}+\frac{3}{4}i\right)\sqrt{2}.

$$-\left(\frac{3}{4}+\frac{3}{4}i\right)\sqrt{2}$$

Whakareatia te -1 ki te \frac{3}{4}+\frac{3}{4}i, ka -\frac{3}{4}-\frac{3}{4}i.

$$\left(-\frac{3}{4}-\frac{3}{4}i\right)\sqrt{2}$$

Wāhi Tūturu

$$-\frac{3 \sqrt{2}}{4} = -1.0606601717798214$$