frac{sqrt{2}+10/3}{6/5} eching

$$\frac { \sqrt { 2 } + \frac { 10 } { 3 } } { \frac { 6 } { 5 } }$$

Baholash

$$\frac{5\sqrt{2}}{6}+\frac{25}{9}\approx 3,95628908$$

Yechim qadamlari

\sqrt{2}+\frac{10}{3} ni \frac{6}{5} ga bo'lish \sqrt{2}+\frac{10}{3} ga k'paytirish \frac{6}{5} ga qaytarish.

$$\frac{\left(\sqrt{2}+\frac{10}{3}\right)\times 5}{6}$$

\sqrt{2}+\frac{10}{3} ga 5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{5\sqrt{2}+\frac{10}{3}\times 5}{6}$$

\frac{10}{3}\times 5 ni yagona kasrga aylantiring.

$$\frac{5\sqrt{2}+\frac{10\times 5}{3}}{6}$$

50 hosil qilish uchun 10 va 5 ni ko'paytirish.

$$\frac{5\sqrt{2}+\frac{50}{3}}{6}$$

Omil

$$\frac{5 {(3 \sqrt{2} + 10)}}{18} = 3,956289079755357$$