4/2sqrt{3-3} eching

$$\frac { 4 } { 2 \sqrt { 3 } - 3 }$$

Baholash

$$\frac{8\sqrt{3}}{3}+4\approx 8,618802154$$

Yechim qadamlari

\frac{4}{2\sqrt{3}-3} maxrajini 2\sqrt{3}+3 orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

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

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

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

\left(2\sqrt{3}\right)^{2} ni kengaytirish.

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

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

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

\sqrt{3} kvadrati – 3.

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

12 hosil qilish uchun 4 va 3 ni ko'paytirish.

$$\frac{4\left(2\sqrt{3}+3\right)}{12-3^{2}}$$

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$\frac{4\left(2\sqrt{3}+3\right)}{12-9}$$

3 olish uchun 12 dan 9 ni ayirish.

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

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

$$\frac{8\sqrt{3}+12}{3}$$