frac{sqrt{-18}}{sqrt{-27}} eching

$$\frac{ \sqrt{ -18 } }{ \sqrt{ -27 } }$$

Baholash (complex solution)

$$\frac{\sqrt{6}}{3}\approx 0,816496581$$

Yechim qadamlari

Faktor: -18=\left(3i\right)^{2}\times 2. \sqrt{\left(3i\right)^{2}\times 2} koʻpaytmasining kvadrat ildizini \sqrt{\left(3i\right)^{2}}\sqrt{2} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. \left(3i\right)^{2} ning kvadrat ildizini chiqarish.

$$\frac{3i\sqrt{2}}{\sqrt{-27}}$$

Faktor: -27=\left(3i\right)^{2}\times 3. \sqrt{\left(3i\right)^{2}\times 3} koʻpaytmasining kvadrat ildizini \sqrt{\left(3i\right)^{2}}\sqrt{3} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. \left(3i\right)^{2} ning kvadrat ildizini chiqarish.

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

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

$$\frac{\sqrt{2}}{\sqrt{3}\times \left(3i\right)^{0}}$$

\frac{\sqrt{2}}{\sqrt{3}\times \left(3i\right)^{0}} maxrajini \sqrt{3} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{\sqrt{2}\sqrt{3}}{\left(\sqrt{3}\right)^{2}\times \left(3i\right)^{0}}$$

\sqrt{3} kvadrati – 3.

$$\frac{\sqrt{2}\sqrt{3}}{3\times \left(3i\right)^{0}}$$

\sqrt{2} va \sqrt{3} ni koʻpaytirish uchun kvadrat ildiz ichidagi sonlarni koʻpaytiring.

$$\frac{\sqrt{6}}{3\times \left(3i\right)^{0}}$$

0 daraja ko‘rsatkichini 3i ga hisoblang va 1 ni qiymatni oling.

$$\frac{\sqrt{6}}{3\times 1}$$

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

$$\frac{\sqrt{6}}{3}$$

Ashyoviy qism (complex solution)

$$\frac{\sqrt{6}}{3} = 0,8164965809277259$$

Baholash

$$\text{Indeterminate}$$