frac{sqrt{-2+1}}{sqrt{-2-1}}= eching

$$\frac{ \sqrt{ -2+1 } }{ \sqrt{ -2-1 } } =$$

Baholash (complex solution)

$$\frac{\sqrt{3}}{3}\approx 0,577350269$$

Yechim qadamlari

-1 olish uchun -2 va 1'ni qo'shing.

$$\frac{\sqrt{-1}}{\sqrt{-2-1}}$$

-1 ning kvadrat ildizini hisoblab, i natijaga ega bo‘ling.

$$\frac{i}{\sqrt{-2-1}}$$

-3 olish uchun -2 dan 1 ni ayirish.

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

Faktor: -3=3\left(-1\right). \sqrt{3\left(-1\right)} koʻpaytmasining kvadrat ildizini \sqrt{3}\sqrt{-1} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. Ta’rifi bo‘yicha, -1 ning kvadrat ildizi i ga teng.

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

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

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

\sqrt{3} kvadrati – 3.

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

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun suratning darajasini maxraj darajasiga bo‘ling.

$$\frac{\sqrt{3}}{3i^{0}}$$

0 daraja ko‘rsatkichini i ga hisoblang va 1 ni qiymatni oling.

$$\frac{\sqrt{3}}{3\times 1}$$

3 hosil qilish uchun 3 va 1 ni ko'paytirish.

$$\frac{\sqrt{3}}{3}$$

Ashyoviy qism (complex solution)

$$\frac{\sqrt{3}}{3} = 0,5773502691896257$$

Baholash

$$\text{Indeterminate}$$