frac{2sqrt{6}+5}{2sqrt{6}} eching

$$\frac { 2 \sqrt { 6 } + 5 } { 2 \sqrt { 6 } }$$

Baholash

$$\frac{5\sqrt{6}}{12}+1\approx 2,020620726$$

Yechim qadamlari

\frac{2\sqrt{6}+5}{2\sqrt{6}} maxrajini \sqrt{6} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{\left(2\sqrt{6}+5\right)\sqrt{6}}{2\left(\sqrt{6}\right)^{2}}$$

\sqrt{6} kvadrati – 6.

$$\frac{\left(2\sqrt{6}+5\right)\sqrt{6}}{2\times 6}$$

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

$$\frac{\left(2\sqrt{6}+5\right)\sqrt{6}}{12}$$

2\sqrt{6}+5 ga \sqrt{6} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{2\left(\sqrt{6}\right)^{2}+5\sqrt{6}}{12}$$

\sqrt{6} kvadrati – 6.

$$\frac{2\times 6+5\sqrt{6}}{12}$$

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

$$\frac{12+5\sqrt{6}}{12}$$