Issolvi sqrt{6*{5/13*[7/3*(1/3+2):(2+1/2):(frac{5}{6}+frac{3}{2})+(1-frac{1}{5})]-frac{1}{2}}*{frac{5}{9}*[(frac{2}{15}+frac{5}{3}):frac{5}{2}]}^2}

$$\sqrt { 6 \times \{ \frac { 5 } { 13 } \times [ \frac { 7 } { 3 } \times ( \frac { 1 } { 3 } + 2 ) : ( 2 + \frac { 1 } { 2 } ) : ( \frac { 5 } { 6 } + \frac { 3 } { 2 } ) + ( 1 - \frac { 1 } { 5 } ) ] - \frac { 1 } { 2 } \} \times \{ \frac { 5 } { 9 } \times [ ( \frac { 2 } { 15 } + \frac { 5 } { 3 } ) : \frac { 5 } { 2 } ] \} ^ { 2 } }$$

Evalwa

$$\frac{2}{5}=0.4$$

Passi tas-Soluzzjonijiet

Żid \frac{1}{3} u 2 biex tikseb \frac{7}{3}.

$$\sqrt{6\left(\frac{5}{13}\left(\frac{\frac{\frac{7}{3}\times \frac{7}{3}}{2+\frac{1}{2}}}{\frac{5}{6}+\frac{3}{2}}+1-\frac{1}{5}\right)-\frac{1}{2}\right)\times \left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}$$

Immultiplika \frac{7}{3} u \frac{7}{3} biex tikseb \frac{49}{9}.

$$\sqrt{6\left(\frac{5}{13}\left(\frac{\frac{\frac{49}{9}}{2+\frac{1}{2}}}{\frac{5}{6}+\frac{3}{2}}+1-\frac{1}{5}\right)-\frac{1}{2}\right)\times \left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}$$

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

$$\sqrt{6\left(\frac{5}{13}\left(\frac{\frac{\frac{49}{9}}{\frac{5}{2}}}{\frac{5}{6}+\frac{3}{2}}+1-\frac{1}{5}\right)-\frac{1}{2}\right)\times \left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}$$

Iddividi \frac{49}{9} b'\frac{5}{2} billi timmultiplika \frac{49}{9} bir-reċiproku ta' \frac{5}{2}.

$$\sqrt{6\left(\frac{5}{13}\left(\frac{\frac{49}{9}\times \frac{2}{5}}{\frac{5}{6}+\frac{3}{2}}+1-\frac{1}{5}\right)-\frac{1}{2}\right)\times \left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}$$

Immultiplika \frac{49}{9} u \frac{2}{5} biex tikseb \frac{98}{45}.

$$\sqrt{6\left(\frac{5}{13}\left(\frac{\frac{98}{45}}{\frac{5}{6}+\frac{3}{2}}+1-\frac{1}{5}\right)-\frac{1}{2}\right)\times \left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}$$

Żid \frac{5}{6} u \frac{3}{2} biex tikseb \frac{7}{3}.

$$\sqrt{6\left(\frac{5}{13}\left(\frac{\frac{98}{45}}{\frac{7}{3}}+1-\frac{1}{5}\right)-\frac{1}{2}\right)\times \left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}$$

Iddividi \frac{98}{45} b'\frac{7}{3} billi timmultiplika \frac{98}{45} bir-reċiproku ta' \frac{7}{3}.

$$\sqrt{6\left(\frac{5}{13}\left(\frac{98}{45}\times \frac{3}{7}+1-\frac{1}{5}\right)-\frac{1}{2}\right)\times \left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}$$

Immultiplika \frac{98}{45} u \frac{3}{7} biex tikseb \frac{14}{15}.

$$\sqrt{6\left(\frac{5}{13}\left(\frac{14}{15}+1-\frac{1}{5}\right)-\frac{1}{2}\right)\times \left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}$$

Żid \frac{14}{15} u 1 biex tikseb \frac{29}{15}.

$$\sqrt{6\left(\frac{5}{13}\left(\frac{29}{15}-\frac{1}{5}\right)-\frac{1}{2}\right)\times \left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}$$

Naqqas \frac{1}{5} minn \frac{29}{15} biex tikseb \frac{26}{15}.

$$\sqrt{6\left(\frac{5}{13}\times \frac{26}{15}-\frac{1}{2}\right)\times \left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}$$

Immultiplika \frac{5}{13} u \frac{26}{15} biex tikseb \frac{2}{3}.

$$\sqrt{6\left(\frac{2}{3}-\frac{1}{2}\right)\times \left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}$$

Naqqas \frac{1}{2} minn \frac{2}{3} biex tikseb \frac{1}{6}.

$$\sqrt{6\times \frac{1}{6}\times \left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}$$

Immultiplika 6 u \frac{1}{6} biex tikseb 1.

$$\sqrt{\left(\frac{5}{9}\times \frac{\frac{2}{15}+\frac{5}{3}}{\frac{5}{2}}\right)^{2}}$$

Żid \frac{2}{15} u \frac{5}{3} biex tikseb \frac{9}{5}.

$$\sqrt{\left(\frac{5}{9}\times \frac{\frac{9}{5}}{\frac{5}{2}}\right)^{2}}$$

Iddividi \frac{9}{5} b'\frac{5}{2} billi timmultiplika \frac{9}{5} bir-reċiproku ta' \frac{5}{2}.

$$\sqrt{\left(\frac{5}{9}\times \frac{9}{5}\times \frac{2}{5}\right)^{2}}$$

Immultiplika \frac{9}{5} u \frac{2}{5} biex tikseb \frac{18}{25}.

$$\sqrt{\left(\frac{5}{9}\times \frac{18}{25}\right)^{2}}$$

Immultiplika \frac{5}{9} u \frac{18}{25} biex tikseb \frac{2}{5}.

$$\sqrt{\left(\frac{2}{5}\right)^{2}}$$

Ikkalkula \frac{2}{5} bil-power ta' 2 u tikseb \frac{4}{25}.

$$\sqrt{\frac{4}{25}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \frac{4}{25} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{4}}{\sqrt{25}}. Ħu r-radiċi kwadrata tan-numeratur u d-denominatur.

$$\frac{2}{5}$$

Fattur

$$\frac{2}{5} = 0.4$$