Datrys -3/2+3i/2/sqrt{2}

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

Enrhifo

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

Camau Ateb

Rhannu 3i â 2 i gael \frac{3}{2}i.

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

Mae'n rhesymoli enwadur \frac{\frac{3}{2}+\frac{3}{2}i}{\sqrt{2}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{2}.

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

Sgwâr \sqrt{2} yw 2.

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

Rhannu \left(\frac{3}{2}+\frac{3}{2}i\right)\sqrt{2} â 2 i gael \left(\frac{3}{4}+\frac{3}{4}i\right)\sqrt{2}.

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

Lluosi -1 a \frac{3}{4}+\frac{3}{4}i i gael -\frac{3}{4}-\frac{3}{4}i.

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

Rhan Real

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