(1/3-1)^2/sqrt{frac{11{25}+1}}*(-12) eching

$$\frac { ( \frac { 1 } { 3 } - 1 ) ^ { 2 } } { \sqrt { \frac { 11 } { 25 } + 1 } } \cdot ( - 12 )$$

Baholash

$$-\frac{40}{9}\approx -4,444444444$$

Yechim qadamlari

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

$$\frac{\left(-\frac{2}{3}\right)^{2}}{\sqrt{\frac{11}{25}+1}}\left(-12\right)$$

2 daraja ko‘rsatkichini -\frac{2}{3} ga hisoblang va \frac{4}{9} ni qiymatni oling.

$$\frac{\frac{4}{9}}{\sqrt{\frac{11}{25}+1}}\left(-12\right)$$

\frac{36}{25} olish uchun \frac{11}{25} va 1'ni qo'shing.

$$\frac{\frac{4}{9}}{\sqrt{\frac{36}{25}}}\left(-12\right)$$

\frac{36}{25} boʻlinmasining kvadrat ildizini \frac{\sqrt{36}}{\sqrt{25}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing. Surat va maxrajni kvadrat ildizdan chiqaring.

$$\frac{\frac{4}{9}}{\frac{6}{5}}\left(-12\right)$$

\frac{4}{9} ni \frac{6}{5} ga bo'lish \frac{4}{9} ga k'paytirish \frac{6}{5} ga qaytarish.

$$\frac{4}{9}\times \frac{5}{6}\left(-12\right)$$

\frac{10}{27} hosil qilish uchun \frac{4}{9} va \frac{5}{6} ni ko'paytirish.

$$\frac{10}{27}\left(-12\right)$$

-\frac{40}{9} hosil qilish uchun \frac{10}{27} va -12 ni ko'paytirish.

$$-\frac{40}{9}$$

Omil

$$-\frac{40}{9} = -4\frac{4}{9} = -4,444444444444445$$