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

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

Evalwa

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

Passi tas-Soluzzjonijiet

Iddividi 3i b'2 biex tikseb\frac{3}{2}i.

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

Irrazzjonalizza d-denominatur tal-\frac{\frac{3}{2}+\frac{3}{2}i}{\sqrt{2}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{2}.

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

Il-kwadrat ta' \sqrt{2} huwa 2.

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

Iddividi \left(\frac{3}{2}+\frac{3}{2}i\right)\sqrt{2} b'2 biex tikseb\left(\frac{3}{4}+\frac{3}{4}i\right)\sqrt{2}.

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

Immultiplika -1 u \frac{3}{4}+\frac{3}{4}i biex tikseb -\frac{3}{4}-\frac{3}{4}i.

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

Parti Reali

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