3/2sqrt{3+3} eching

$$\frac { 3 } { 2 \sqrt { 3 } + 3 }$$

Baholash

$$2\sqrt{3}-3\approx 0,464101615$$

Yechim qadamlari

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

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

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}.

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

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

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

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

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

\sqrt{3} kvadrati – 3.

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

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

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

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

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

3 olish uchun 12 dan 9 ni ayirish.

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

3 va 3 ni qisqartiring.

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