(-3)div(-sqrt{5}-2)= eching

$$(-3) \div (- \sqrt{ 5 } -2)=$$

Baholash

$$3\left(\sqrt{5}-2\right)\approx 0,708203932$$

Yechim qadamlari

\frac{-3}{-\sqrt{5}-2} maxrajini -\sqrt{5}+2 orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{-3\left(-\sqrt{5}+2\right)}{\left(-\sqrt{5}-2\right)\left(-\sqrt{5}+2\right)}$$

Hisoblang: \left(-\sqrt{5}-2\right)\left(-\sqrt{5}+2\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\frac{-3\left(-\sqrt{5}+2\right)}{\left(-\sqrt{5}\right)^{2}-2^{2}}$$

2 daraja ko‘rsatkichini -\sqrt{5} ga hisoblang va \left(\sqrt{5}\right)^{2} ni qiymatni oling.

$$\frac{-3\left(-\sqrt{5}+2\right)}{\left(\sqrt{5}\right)^{2}-2^{2}}$$

2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.

$$\frac{-3\left(-\sqrt{5}+2\right)}{\left(\sqrt{5}\right)^{2}-4}$$

\sqrt{5} kvadrati – 5.

$$\frac{-3\left(-\sqrt{5}+2\right)}{5-4}$$

1 olish uchun 5 dan 4 ni ayirish.

$$\frac{-3\left(-\sqrt{5}+2\right)}{1}$$

Har qanday son birga bo‘linganda, natija o‘zi chiqadi.

$$-3\left(-\sqrt{5}+2\right)$$

-3 ga -\sqrt{5}+2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

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

$$3\sqrt{5}-6$$