sqrt{-4/3} eching

$$\sqrt { - \frac { 4 } { 3 } }$$

Baholash (complex solution)

$$\frac{2\sqrt{3}i}{3}\approx 1,154700538i$$

Yechim qadamlari

\sqrt{-\frac{4}{3}} boʻlinmasining kvadrat ildizini \frac{\sqrt{-4}}{\sqrt{3}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing.

$$\frac{\sqrt{-4}}{\sqrt{3}}$$

-4 ning kvadrat ildizini hisoblab, 2i natijaga ega bo‘ling.

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

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

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

\sqrt{3} kvadrati – 3.

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

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

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

Ashyoviy qism (complex solution)

$$0$$

Baholash

$$\text{Indeterminate}$$