36/5/{left(-frac{5{8}right)}^-1}+sqrt{27/16-1/8}-frac{13}{4} eching

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

Baholash

$$-\frac{13}{2}=-6,5$$

Yechim qadamlari

-1 daraja ko‘rsatkichini -\frac{5}{8} ga hisoblang va -\frac{8}{5} ni qiymatni oling.

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

\frac{36}{5} ni -\frac{8}{5} ga bo'lish \frac{36}{5} ga k'paytirish -\frac{8}{5} ga qaytarish.

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

-\frac{9}{2} hosil qilish uchun \frac{36}{5} va -\frac{5}{8} ni ko'paytirish.

$$-\frac{9}{2}+\sqrt{\frac{27}{16}-\frac{1}{8}}-\frac{13}{4}$$

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

$$-\frac{9}{2}+\sqrt{\frac{25}{16}}-\frac{13}{4}$$

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

$$-\frac{9}{2}+\frac{5}{4}-\frac{13}{4}$$

-\frac{13}{4} olish uchun -\frac{9}{2} va \frac{5}{4}'ni qo'shing.

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

-\frac{13}{2} olish uchun -\frac{13}{4} dan \frac{13}{4} ni ayirish.

$$-\frac{13}{2}$$

Omil

$$-\frac{13}{2} = -6\frac{1}{2} = -6,5$$