(2/3)^2+(1/4)^-2-(sqrt{4/9}-1/2)=16111 eching

$$( \frac { 2 } { 3 } ) ^ { 2 } + ( \frac { 1 } { 4 } ) ^ { - 2 } - ( \sqrt { \frac { 4 } { 9 } } - \frac { 1 } { 2 } ) = 16111$$

Tasdiqlamoq

Yechim qadamlari

2 daraja ko‘rsatkichini \frac{2}{3} ga hisoblang va \frac{4}{9} ni qiymatni oling.

$$\frac{4}{9}+\left(\frac{1}{4}\right)^{-2}-\left(\sqrt{\frac{4}{9}}-\frac{1}{2}\right)=16111$$

-2 daraja ko‘rsatkichini \frac{1}{4} ga hisoblang va 16 ni qiymatni oling.

$$\frac{4}{9}+16-\left(\sqrt{\frac{4}{9}}-\frac{1}{2}\right)=16111$$

\frac{148}{9} olish uchun \frac{4}{9} va 16'ni qo'shing.

$$\frac{148}{9}-\left(\sqrt{\frac{4}{9}}-\frac{1}{2}\right)=16111$$

\frac{4}{9} boʻlinmasining kvadrat ildizini \frac{\sqrt{4}}{\sqrt{9}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing. Surat va maxrajni kvadrat ildizdan chiqaring.

$$\frac{148}{9}-\left(\frac{2}{3}-\frac{1}{2}\right)=16111$$

\frac{1}{6} olish uchun \frac{2}{3} dan \frac{1}{2} ni ayirish.

$$\frac{148}{9}-\frac{1}{6}=16111$$

\frac{293}{18} olish uchun \frac{148}{9} dan \frac{1}{6} ni ayirish.

$$\frac{293}{18}=16111$$

16111 ni \frac{289998}{18} kasrga o‘giring.

$$\frac{293}{18}=\frac{289998}{18}$$

\frac{293}{18} va \frac{289998}{18} ni taqqoslang.

$$\text{false}$$