{left(1/2-frac{2/3right)}^2div5/6-sqrt{1/9}}{sqrt[3]{frac{1}{8}}+{left(1-frac{1}{2}right)}^2frac{9}{8}} eching

$$\frac{ { \left( \frac{ 1 }{ 2 } - \frac{ 2 }{ 3 } \right) }^{ 2 } \div \frac{ 5 }{ 6 } - \sqrt{ \frac{ 1 }{ 9 } } }{ \sqrt[ 3 ]{ \frac{ 1 }{ 8 } } + { \left(1- \frac{ 1 }{ 2 } \right) }^{ 2 } \frac{ 9 }{ 8 } }$$

Baholash

$$-\frac{48}{125}=-0,384$$

Yechim qadamlari

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

$$\frac{\frac{\left(-\frac{1}{6}\right)^{2}}{\frac{5}{6}}-\sqrt{\frac{1}{9}}}{\sqrt[3]{\frac{1}{8}}+\left(1-\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

2 daraja ko‘rsatkichini -\frac{1}{6} ga hisoblang va \frac{1}{36} ni qiymatni oling.

$$\frac{\frac{\frac{1}{36}}{\frac{5}{6}}-\sqrt{\frac{1}{9}}}{\sqrt[3]{\frac{1}{8}}+\left(1-\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

\frac{1}{36} ni \frac{5}{6} ga bo'lish \frac{1}{36} ga k'paytirish \frac{5}{6} ga qaytarish.

$$\frac{\frac{1}{36}\times \frac{6}{5}-\sqrt{\frac{1}{9}}}{\sqrt[3]{\frac{1}{8}}+\left(1-\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

\frac{1}{30} hosil qilish uchun \frac{1}{36} va \frac{6}{5} ni ko'paytirish.

$$\frac{\frac{1}{30}-\sqrt{\frac{1}{9}}}{\sqrt[3]{\frac{1}{8}}+\left(1-\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

\frac{1}{9} boʻlinmasining kvadrat ildizini \frac{\sqrt{1}}{\sqrt{9}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing. Surat va maxrajni kvadrat ildizdan chiqaring.

$$\frac{\frac{1}{30}-\frac{1}{3}}{\sqrt[3]{\frac{1}{8}}+\left(1-\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

-\frac{3}{10} olish uchun \frac{1}{30} dan \frac{1}{3} ni ayirish.

$$\frac{-\frac{3}{10}}{\sqrt[3]{\frac{1}{8}}+\left(1-\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

\sqrt[3]{\frac{1}{8}} ni hisoblab, \frac{1}{2} natijasiga ega bo‘ling.

$$\frac{-\frac{3}{10}}{\frac{1}{2}+\left(1-\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

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

$$\frac{-\frac{3}{10}}{\frac{1}{2}+\left(\frac{1}{2}\right)^{2}\times \frac{9}{8}}$$

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

$$\frac{-\frac{3}{10}}{\frac{1}{2}+\frac{1}{4}\times \frac{9}{8}}$$

\frac{9}{32} hosil qilish uchun \frac{1}{4} va \frac{9}{8} ni ko'paytirish.

$$\frac{-\frac{3}{10}}{\frac{1}{2}+\frac{9}{32}}$$

\frac{25}{32} olish uchun \frac{1}{2} va \frac{9}{32}'ni qo'shing.

$$\frac{-\frac{3}{10}}{\frac{25}{32}}$$

-\frac{3}{10} ni \frac{25}{32} ga bo'lish -\frac{3}{10} ga k'paytirish \frac{25}{32} ga qaytarish.

$$-\frac{3}{10}\times \frac{32}{25}$$

-\frac{48}{125} hosil qilish uchun -\frac{3}{10} va \frac{32}{25} ni ko'paytirish.

$$-\frac{48}{125}$$

Omil

$$-\frac{48}{125} = -0,384$$