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

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

Baholash

$$\frac{\sqrt[3]{2}\times 5^{\frac{2}{3}}}{5}\approx 0,7368063$$

Yechim qadamlari

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

$$\sqrt[3]{\frac{9\times \left(\frac{2}{3}\right)^{2}-3}{2+\frac{1}{2}}}$$

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

$$\sqrt[3]{\frac{9\times \frac{4}{9}-3}{2+\frac{1}{2}}}$$

4 hosil qilish uchun 9 va \frac{4}{9} ni ko'paytirish.

$$\sqrt[3]{\frac{4-3}{2+\frac{1}{2}}}$$

1 olish uchun 4 dan 3 ni ayirish.

$$\sqrt[3]{\frac{1}{2+\frac{1}{2}}}$$

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

$$\sqrt[3]{\frac{1}{\frac{5}{2}}}$$

1 ni \frac{5}{2} ga bo'lish 1 ga k'paytirish \frac{5}{2} ga qaytarish.

$$\sqrt[3]{1\times \frac{2}{5}}$$

\frac{2}{5} hosil qilish uchun 1 va \frac{2}{5} ni ko'paytirish.

$$\sqrt[3]{\frac{2}{5}}$$