Issolvi (2/3-1/2)^2*1/27+sqrt{1/20+frac{11}{100}}=

$$( \frac { 2 } { 3 } - \frac { 1 } { 2 } ) ^ { 2 } \cdot \frac { 1 } { 27 } + \sqrt { \frac { 1 } { 20 } + \frac { 11 } { 100 } } =$$

Evalwa

$$\frac{1949}{4860}\approx 0.401028807$$

Passi tas-Soluzzjonijiet

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

$$\left(\frac{1}{6}\right)^{2}\times \frac{1}{27}+\sqrt{\frac{1}{20}+\frac{11}{100}}$$

Ikkalkula \frac{1}{6} bil-power ta' 2 u tikseb \frac{1}{36}.

$$\frac{1}{36}\times \frac{1}{27}+\sqrt{\frac{1}{20}+\frac{11}{100}}$$

Immultiplika \frac{1}{36} u \frac{1}{27} biex tikseb \frac{1}{972}.

$$\frac{1}{972}+\sqrt{\frac{1}{20}+\frac{11}{100}}$$

Żid \frac{1}{20} u \frac{11}{100} biex tikseb \frac{4}{25}.

$$\frac{1}{972}+\sqrt{\frac{4}{25}}$$

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.

$$\frac{1}{972}+\frac{2}{5}$$

Żid \frac{1}{972} u \frac{2}{5} biex tikseb \frac{1949}{4860}.

$$\frac{1949}{4860}$$

Fattur

$$\frac{1949}{2 ^ {2} \cdot 3 ^ {5} \cdot 5} = 0.40102880658436213$$