[(2-1/4)*(3-1/2)]^2sqrt{4/9}= eching

$$[ ( 2 - \frac { 1 } { 4 } ) \cdot ( 3 - \frac { 1 } { 2 } ) ] ^ { 2 } \sqrt { \frac { 4 } { 9 } } =$$

Baholash

$$\frac{1225}{96}\approx 12,760416667$$

Yechim qadamlari

\frac{7}{4} olish uchun 2 dan \frac{1}{4} ni ayirish.

$$\left(\frac{7}{4}\left(3-\frac{1}{2}\right)\right)^{2}\sqrt{\frac{4}{9}}$$

\frac{5}{2} olish uchun 3 dan \frac{1}{2} ni ayirish.

$$\left(\frac{7}{4}\times \frac{5}{2}\right)^{2}\sqrt{\frac{4}{9}}$$

\frac{35}{8} hosil qilish uchun \frac{7}{4} va \frac{5}{2} ni ko'paytirish.

$$\left(\frac{35}{8}\right)^{2}\sqrt{\frac{4}{9}}$$

2 daraja ko‘rsatkichini \frac{35}{8} ga hisoblang va \frac{1225}{64} ni qiymatni oling.

$$\frac{1225}{64}\sqrt{\frac{4}{9}}$$

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

$$\frac{1225}{64}\times \frac{2}{3}$$

\frac{1225}{96} hosil qilish uchun \frac{1225}{64} va \frac{2}{3} ni ko'paytirish.

$$\frac{1225}{96}$$

Omil

$$\frac{5 ^ {2} \cdot 7 ^ {2}}{2 ^ {5} \cdot 3} = 12\frac{73}{96} = 12,760416666666666$$