((-11)+1)div(sqrt{8-11}-3) eching

$$((-11)+1) \div ( \sqrt{ 8-11 } -3)$$

Baholash

$$\text{Indeterminate}$$

Yechim qadamlari

-10 olish uchun -11 va 1'ni qo'shing.

$$\frac{-10}{\sqrt{8-11}-3}$$

-3 olish uchun 8 dan 11 ni ayirish.

$$\frac{-10}{\sqrt{-3}-3}$$

\frac{-10}{\sqrt{-3}-3} maxrajini \sqrt{-3}+3 orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{-10\left(\sqrt{-3}+3\right)}{\left(\sqrt{-3}-3\right)\left(\sqrt{-3}+3\right)}$$

Hisoblang: \left(\sqrt{-3}-3\right)\left(\sqrt{-3}+3\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\frac{-10\left(\sqrt{-3}+3\right)}{\left(\sqrt{-3}\right)^{2}-3^{2}}$$

\sqrt{-3} kvadratini chiqarish. 3 kvadratini chiqarish.

$$\frac{-10\left(\sqrt{-3}+3\right)}{-3-9}$$

-12 olish uchun -3 dan 9 ni ayirish.

$$\frac{-10\left(\sqrt{-3}+3\right)}{-12}$$

\frac{5}{6}\left(\sqrt{-3}+3\right) ni olish uchun -10\left(\sqrt{-3}+3\right) ni -12 ga bo‘ling.

$$\frac{5}{6}\left(\sqrt{-3}+3\right)$$

\frac{5}{6} ga \sqrt{-3}+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{5}{6}\sqrt{-3}+\frac{5}{6}\times 3$$

\frac{5}{6}\times 3 ni yagona kasrga aylantiring.

$$\frac{5}{6}\sqrt{-3}+\frac{5\times 3}{6}$$

15 hosil qilish uchun 5 va 3 ni ko'paytirish.

$$\frac{5}{6}\sqrt{-3}+\frac{15}{6}$$

\frac{15}{6} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{5}{6}\sqrt{-3}+\frac{5}{2}$$