36/5:(-5/6)^-1+sqrt{27/16-1/8}-frac{13}{4}= eching

$$\frac { 36 } { 5 } : ( - \frac { 5 } { 6 } ) ^ { - 1 } + \sqrt { \frac { 27 } { 16 } - \frac { 1 } { 8 } } - \frac { 13 } { 4 } =$$

Baholash

$$-8$$

Yechim qadamlari

-1 daraja ko‘rsatkichini -\frac{5}{6} ga hisoblang va -\frac{6}{5} ni qiymatni oling.

$$\frac{\frac{36}{5}}{-\frac{6}{5}}+\sqrt{\frac{27}{16}-\frac{1}{8}}-\frac{13}{4}$$

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

$$\frac{36}{5}\left(-\frac{5}{6}\right)+\sqrt{\frac{27}{16}-\frac{1}{8}}-\frac{13}{4}$$

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

$$-6+\sqrt{\frac{27}{16}-\frac{1}{8}}-\frac{13}{4}$$

\frac{25}{16} olish uchun \frac{27}{16} dan \frac{1}{8} ni ayirish.

$$-6+\sqrt{\frac{25}{16}}-\frac{13}{4}$$

\frac{25}{16} boʻlinmasining kvadrat ildizini \frac{\sqrt{25}}{\sqrt{16}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing. Surat va maxrajni kvadrat ildizdan chiqaring.

$$-6+\frac{5}{4}-\frac{13}{4}$$

-\frac{19}{4} olish uchun -6 va \frac{5}{4}'ni qo'shing.

$$-\frac{19}{4}-\frac{13}{4}$$

-8 olish uchun -\frac{19}{4} dan \frac{13}{4} ni ayirish.

$$-8$$

Omil

$$-8$$