Réitigh -3/2+3i/2/sqrt{2}

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

Luacháil

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

Céimeanna Réitigh

Roinn 3i faoi 2 chun \frac{3}{2}i a fháil.

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

Iolraigh an t-uimhreoir agus an t-ainmneoir faoi \sqrt{2} chun ainmneoir \frac{\frac{3}{2}+\frac{3}{2}i}{\sqrt{2}} a thiontú in uimhir chóimheasta.

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

Is é 2 uimhir chearnach \sqrt{2}.

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

Roinn \left(\frac{3}{2}+\frac{3}{2}i\right)\sqrt{2} faoi 2 chun \left(\frac{3}{4}+\frac{3}{4}i\right)\sqrt{2} a fháil.

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

Méadaigh -1 agus \frac{3}{4}+\frac{3}{4}i chun -\frac{3}{4}-\frac{3}{4}i a fháil.

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

Fíorpháirt

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