7/-10-sqrt{2} eching

$$\frac { 7 } { - 10 - \sqrt { 2 } }$$

Baholash

$$\frac{\sqrt{2}-10}{14}\approx -0,61327046$$

Yechim qadamlari

\frac{7}{-10-\sqrt{2}} maxrajini -10+\sqrt{2} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{7\left(-10+\sqrt{2}\right)}{\left(-10-\sqrt{2}\right)\left(-10+\sqrt{2}\right)}$$

Hisoblang: \left(-10-\sqrt{2}\right)\left(-10+\sqrt{2}\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\frac{7\left(-10+\sqrt{2}\right)}{\left(-10\right)^{2}-\left(\sqrt{2}\right)^{2}}$$

-10 kvadratini chiqarish. \sqrt{2} kvadratini chiqarish.

$$\frac{7\left(-10+\sqrt{2}\right)}{100-2}$$

98 olish uchun 100 dan 2 ni ayirish.

$$\frac{7\left(-10+\sqrt{2}\right)}{98}$$

\frac{1}{14}\left(-10+\sqrt{2}\right) ni olish uchun 7\left(-10+\sqrt{2}\right) ni 98 ga bo‘ling.

$$\frac{1}{14}\left(-10+\sqrt{2}\right)$$

\frac{1}{14} ga -10+\sqrt{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{1}{14}\left(-10\right)+\frac{1}{14}\sqrt{2}$$

\frac{-10}{14} hosil qilish uchun \frac{1}{14} va -10 ni ko'paytirish.

$$\frac{-10}{14}+\frac{1}{14}\sqrt{2}$$

\frac{-10}{14} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{5}{7}+\frac{1}{14}\sqrt{2}$$