4/sqrt{2-6}= eching

$$\frac { 4 } { \sqrt { 2 } - 6 } =$$

Baholash

$$\frac{-2\sqrt{2}-12}{17}\approx -0,872260419$$

Yechim qadamlari

\frac{4}{\sqrt{2}-6} maxrajini \sqrt{2}+6 orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{4\left(\sqrt{2}+6\right)}{\left(\sqrt{2}-6\right)\left(\sqrt{2}+6\right)}$$

Hisoblang: \left(\sqrt{2}-6\right)\left(\sqrt{2}+6\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\frac{4\left(\sqrt{2}+6\right)}{\left(\sqrt{2}\right)^{2}-6^{2}}$$

\sqrt{2} kvadratini chiqarish. 6 kvadratini chiqarish.

$$\frac{4\left(\sqrt{2}+6\right)}{2-36}$$

-34 olish uchun 2 dan 36 ni ayirish.

$$\frac{4\left(\sqrt{2}+6\right)}{-34}$$

-\frac{2}{17}\left(\sqrt{2}+6\right) ni olish uchun 4\left(\sqrt{2}+6\right) ni -34 ga bo‘ling.

$$-\frac{2}{17}\left(\sqrt{2}+6\right)$$

-\frac{2}{17} ga \sqrt{2}+6 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-\frac{2}{17}\sqrt{2}-\frac{2}{17}\times 6$$

-\frac{2}{17}\times 6 ni yagona kasrga aylantiring.

$$-\frac{2}{17}\sqrt{2}+\frac{-2\times 6}{17}$$

-12 hosil qilish uchun -2 va 6 ni ko'paytirish.

$$-\frac{2}{17}\sqrt{2}+\frac{-12}{17}$$

\frac{-12}{17} kasri manfiy belgini olib tashlash bilan -\frac{12}{17} sifatida qayta yozilishi mumkin.

$$-\frac{2}{17}\sqrt{2}-\frac{12}{17}$$