-{[(1/sqrt{4})-(-1/sqrt{9})]+(-sqrt{4})^3+2(sqrt{16}-1/2)}div(3/4) eching

$$- \{ [ ( \frac { 1 } { \sqrt { 4 } } ) - ( - \frac { 1 } { \sqrt { 9 } } ) ] + ( - \sqrt { 4 } ) ^ { 3 } + 2 ( \sqrt { 16 } - \frac { 1 } { 2 } ) \} \div ( \frac { 3 } { 4 } )$$

Baholash

$$\frac{2}{9}\approx 0,222222222$$

Yechim qadamlari

4 ning kvadrat ildizini hisoblab, 2 natijaga ega bo‘ling.

$$\frac{-\left(\frac{1}{2}-\left(-\frac{1}{\sqrt{9}}\right)+\left(-\sqrt{4}\right)^{3}+2\left(\sqrt{16}-\frac{1}{2}\right)\right)}{\frac{3}{4}}$$

9 ning kvadrat ildizini hisoblab, 3 natijaga ega bo‘ling.

$$\frac{-\left(\frac{1}{2}-\left(-\frac{1}{3}\right)+\left(-\sqrt{4}\right)^{3}+2\left(\sqrt{16}-\frac{1}{2}\right)\right)}{\frac{3}{4}}$$

-\frac{1}{3} ning teskarisi \frac{1}{3} ga teng.

$$\frac{-\left(\frac{1}{2}+\frac{1}{3}+\left(-\sqrt{4}\right)^{3}+2\left(\sqrt{16}-\frac{1}{2}\right)\right)}{\frac{3}{4}}$$

\frac{5}{6} olish uchun \frac{1}{2} va \frac{1}{3}'ni qo'shing.

$$\frac{-\left(\frac{5}{6}+\left(-\sqrt{4}\right)^{3}+2\left(\sqrt{16}-\frac{1}{2}\right)\right)}{\frac{3}{4}}$$

4 ning kvadrat ildizini hisoblab, 2 natijaga ega bo‘ling.

$$\frac{-\left(\frac{5}{6}+\left(-2\right)^{3}+2\left(\sqrt{16}-\frac{1}{2}\right)\right)}{\frac{3}{4}}$$

3 daraja ko‘rsatkichini -2 ga hisoblang va -8 ni qiymatni oling.

$$\frac{-\left(\frac{5}{6}-8+2\left(\sqrt{16}-\frac{1}{2}\right)\right)}{\frac{3}{4}}$$

-\frac{43}{6} olish uchun \frac{5}{6} dan 8 ni ayirish.

$$\frac{-\left(-\frac{43}{6}+2\left(\sqrt{16}-\frac{1}{2}\right)\right)}{\frac{3}{4}}$$

16 ning kvadrat ildizini hisoblab, 4 natijaga ega bo‘ling.

$$\frac{-\left(-\frac{43}{6}+2\left(4-\frac{1}{2}\right)\right)}{\frac{3}{4}}$$

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

$$\frac{-\left(-\frac{43}{6}+2\times \frac{7}{2}\right)}{\frac{3}{4}}$$

7 hosil qilish uchun 2 va \frac{7}{2} ni ko'paytirish.

$$\frac{-\left(-\frac{43}{6}+7\right)}{\frac{3}{4}}$$

-\frac{1}{6} olish uchun -\frac{43}{6} va 7'ni qo'shing.

$$\frac{-\left(-\frac{1}{6}\right)}{\frac{3}{4}}$$

-\frac{1}{6} ning teskarisi \frac{1}{6} ga teng.

$$\frac{\frac{1}{6}}{\frac{3}{4}}$$

\frac{1}{6} ni \frac{3}{4} ga bo'lish \frac{1}{6} ga k'paytirish \frac{3}{4} ga qaytarish.

$$\frac{1}{6}\times \frac{4}{3}$$

\frac{2}{9} hosil qilish uchun \frac{1}{6} va \frac{4}{3} ni ko'paytirish.

$$\frac{2}{9}$$

Omil

$$\frac{2}{3 ^ {2}} = 0,2222222222222222$$