{left(3/2*1/4+1/5*10/3right)}^2+1= eching

$${ \left( \frac{ 3 }{ 2 } \times \frac{ 1 }{ 4 } + \frac{ 1 }{ 5 } \times \frac{ 10 }{ 3 } \right) }^{ 2 } +1=$$

Baholash

$$\frac{1201}{576}\approx 2,085069444$$

Yechim qadamlari

\frac{3}{8} hosil qilish uchun \frac{3}{2} va \frac{1}{4} ni ko'paytirish.

$$\left(\frac{3}{8}+\frac{1}{5}\times \frac{10}{3}\right)^{2}+1$$

\frac{2}{3} hosil qilish uchun \frac{1}{5} va \frac{10}{3} ni ko'paytirish.

$$\left(\frac{3}{8}+\frac{2}{3}\right)^{2}+1$$

\frac{25}{24} olish uchun \frac{3}{8} va \frac{2}{3}'ni qo'shing.

$$\left(\frac{25}{24}\right)^{2}+1$$

2 daraja ko‘rsatkichini \frac{25}{24} ga hisoblang va \frac{625}{576} ni qiymatni oling.

$$\frac{625}{576}+1$$

\frac{1201}{576} olish uchun \frac{625}{576} va 1'ni qo'shing.

$$\frac{1201}{576}$$

Omil

$$\frac{1201}{2 ^ {6} \cdot 3 ^ {2}} = 2\frac{49}{576} = 2,0850694444444446$$