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

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

Baholash

$$\sqrt{2}\left(-\frac{3}{4}-\frac{3}{4}i\right)\approx -1,060660172-1,060660172i$$

Yechim qadamlari

\frac{3}{2}i ni olish uchun 3i ni 2 ga bo‘ling.

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

\frac{\frac{3}{2}+\frac{3}{2}i}{\sqrt{2}} maxrajini \sqrt{2} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

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

\sqrt{2} kvadrati – 2.

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

\left(\frac{3}{4}+\frac{3}{4}i\right)\sqrt{2} ni olish uchun \left(\frac{3}{2}+\frac{3}{2}i\right)\sqrt{2} ni 2 ga bo‘ling.

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

-\frac{3}{4}-\frac{3}{4}i hosil qilish uchun -1 va \frac{3}{4}+\frac{3}{4}i ni ko'paytirish.

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

Ashyoviy qism

$$-\frac{3 \sqrt{2}}{4} = -1,0606601717798214$$