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

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

Evalwa

$$\frac{\sqrt[3]{2}\times 5^{\frac{2}{3}}}{5}\approx 0.7368063$$

Passi tas-Soluzzjonijiet

Naqqas \frac{1}{3} minn 1 biex tikseb \frac{2}{3}.

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

Ikkalkula \frac{2}{3} bil-power ta' 2 u tikseb \frac{4}{9}.

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

Immultiplika 9 u \frac{4}{9} biex tikseb 4.

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

Naqqas 3 minn 4 biex tikseb 1.

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

Żid 2 u \frac{1}{2} biex tikseb \frac{5}{2}.

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

Iddividi 1 b'\frac{5}{2} billi timmultiplika 1 bir-reċiproku ta' \frac{5}{2}.

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

Immultiplika 1 u \frac{2}{5} biex tikseb \frac{2}{5}.

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