[-1+3/2-(-3/4-(-1-1/6))]sqrt{2-frac{7/4}}{(-frac{5}{3})^-1+frac{1}{2}-(-2)^-2} eching

$$\frac { [ - 1 + \frac { 3 } { 2 } - ( - \frac { 3 } { 4 } - ( - 1 - \frac { 1 } { 6 } ) ) ] \sqrt { 2 - \frac { 7 } { 4 } } } { ( - \frac { 5 } { 3 } ) ^ { - 1 } + \frac { 1 } { 2 } - ( - 2 ) ^ { - 2 } }$$

Baholash

$$-\frac{5}{42}\approx -0,119047619$$

Yechim qadamlari

\frac{1}{2} olish uchun -1 va \frac{3}{2}'ni qo'shing.

$$\frac{\left(\frac{1}{2}-\left(-\frac{3}{4}-\left(-1-\frac{1}{6}\right)\right)\right)\sqrt{2-\frac{7}{4}}}{\left(-\frac{5}{3}\right)^{-1}+\frac{1}{2}-\left(-2\right)^{-2}}$$

-\frac{7}{6} olish uchun -1 dan \frac{1}{6} ni ayirish.

$$\frac{\left(\frac{1}{2}-\left(-\frac{3}{4}-\left(-\frac{7}{6}\right)\right)\right)\sqrt{2-\frac{7}{4}}}{\left(-\frac{5}{3}\right)^{-1}+\frac{1}{2}-\left(-2\right)^{-2}}$$

-\frac{7}{6} ning teskarisi \frac{7}{6} ga teng.

$$\frac{\left(\frac{1}{2}-\left(-\frac{3}{4}+\frac{7}{6}\right)\right)\sqrt{2-\frac{7}{4}}}{\left(-\frac{5}{3}\right)^{-1}+\frac{1}{2}-\left(-2\right)^{-2}}$$

\frac{5}{12} olish uchun -\frac{3}{4} va \frac{7}{6}'ni qo'shing.

$$\frac{\left(\frac{1}{2}-\frac{5}{12}\right)\sqrt{2-\frac{7}{4}}}{\left(-\frac{5}{3}\right)^{-1}+\frac{1}{2}-\left(-2\right)^{-2}}$$

\frac{1}{12} olish uchun \frac{1}{2} dan \frac{5}{12} ni ayirish.

$$\frac{\frac{1}{12}\sqrt{2-\frac{7}{4}}}{\left(-\frac{5}{3}\right)^{-1}+\frac{1}{2}-\left(-2\right)^{-2}}$$

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

$$\frac{\frac{1}{12}\sqrt{\frac{1}{4}}}{\left(-\frac{5}{3}\right)^{-1}+\frac{1}{2}-\left(-2\right)^{-2}}$$

\frac{1}{4} boʻlinmasining kvadrat ildizini \frac{\sqrt{1}}{\sqrt{4}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing. Surat va maxrajni kvadrat ildizdan chiqaring.

$$\frac{\frac{1}{12}\times \frac{1}{2}}{\left(-\frac{5}{3}\right)^{-1}+\frac{1}{2}-\left(-2\right)^{-2}}$$

\frac{1}{24} hosil qilish uchun \frac{1}{12} va \frac{1}{2} ni ko'paytirish.

$$\frac{\frac{1}{24}}{\left(-\frac{5}{3}\right)^{-1}+\frac{1}{2}-\left(-2\right)^{-2}}$$

-1 daraja ko‘rsatkichini -\frac{5}{3} ga hisoblang va -\frac{3}{5} ni qiymatni oling.

$$\frac{\frac{1}{24}}{-\frac{3}{5}+\frac{1}{2}-\left(-2\right)^{-2}}$$

-\frac{1}{10} olish uchun -\frac{3}{5} va \frac{1}{2}'ni qo'shing.

$$\frac{\frac{1}{24}}{-\frac{1}{10}-\left(-2\right)^{-2}}$$

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

$$\frac{\frac{1}{24}}{-\frac{1}{10}-\frac{1}{4}}$$

-\frac{7}{20} olish uchun -\frac{1}{10} dan \frac{1}{4} ni ayirish.

$$\frac{\frac{1}{24}}{-\frac{7}{20}}$$

\frac{1}{24} ni -\frac{7}{20} ga bo'lish \frac{1}{24} ga k'paytirish -\frac{7}{20} ga qaytarish.

$$\frac{1}{24}\left(-\frac{20}{7}\right)$$

-\frac{5}{42} hosil qilish uchun \frac{1}{24} va -\frac{20}{7} ni ko'paytirish.

$$-\frac{5}{42}$$

Omil

$$-\frac{5}{42} = -0,11904761904761904$$