frac{sqrt{-36}}{sqrt{-2}r-9} eching

$$\frac { \sqrt { - 36 } } { \sqrt { - 2 } r - 9 }$$

Baholash

$$\text{Indeterminate}$$

Qisqa yechim qadamlari

\frac{\sqrt{-36}}{\sqrt{-2}r-9} maxrajini \sqrt{-2}r+9 orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{\sqrt{-36}\left(\sqrt{-2}r+9\right)}{\left(\sqrt{-2}r-9\right)\left(\sqrt{-2}r+9\right)}$$

Hisoblang: \left(\sqrt{-2}r-9\right)\left(\sqrt{-2}r+9\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\frac{\sqrt{-36}\left(\sqrt{-2}r+9\right)}{\left(\sqrt{-2}r\right)^{2}-9^{2}}$$

\left(\sqrt{-2}r\right)^{2} ni kengaytirish.

$$\frac{\sqrt{-36}\left(\sqrt{-2}r+9\right)}{\left(\sqrt{-2}\right)^{2}r^{2}-9^{2}}$$

2 daraja ko‘rsatkichini \sqrt{-2} ga hisoblang va -2 ni qiymatni oling.

$$\frac{\sqrt{-36}\left(\sqrt{-2}r+9\right)}{-2r^{2}-9^{2}}$$

2 daraja ko‘rsatkichini 9 ga hisoblang va 81 ni qiymatni oling.

$$\frac{\sqrt{-36}\left(\sqrt{-2}r+9\right)}{-2r^{2}-81}$$

\sqrt{-36} ga \sqrt{-2}r+9 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{\sqrt{-36}\sqrt{-2}r+9\sqrt{-36}}{-2r^{2}-81}$$