Issolvi [-1+3/2-(-3/4-(-1-1/6))]sqrt{2-frac{7/4}}{(-frac{5}{3})^-1+frac{1}{2}-(-2)^-2}

$$\frac { [ - 1 + \frac { 3 } { 2 } - ( - \frac { 3 } { 4 } - ( - 1 - \frac { 1 } { 6 } ) ) ] \sqrt { 2 - \frac { 7 } { 4 } } } { ( - \frac { 5 } { 3 } ) ^ { - 1 } + \frac { 1 } { 2 } - ( - 2 ) ^ { - 2 } }$$

Evalwa

$$-\frac{5}{42}\approx -0.119047619$$

Passi tas-Soluzzjonijiet

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

$$\frac{\left(\frac{1}{2}-\left(-\frac{3}{4}-\left(-1-\frac{1}{6}\right)\right)\right)\sqrt{2-\frac{7}{4}}}{\left(-\frac{5}{3}\right)^{-1}+\frac{1}{2}-\left(-2\right)^{-2}}$$

Naqqas \frac{1}{6} minn -1 biex tikseb -\frac{7}{6}.

$$\frac{\left(\frac{1}{2}-\left(-\frac{3}{4}-\left(-\frac{7}{6}\right)\right)\right)\sqrt{2-\frac{7}{4}}}{\left(-\frac{5}{3}\right)^{-1}+\frac{1}{2}-\left(-2\right)^{-2}}$$

L-oppost ta' -\frac{7}{6} huwa \frac{7}{6}.

$$\frac{\left(\frac{1}{2}-\left(-\frac{3}{4}+\frac{7}{6}\right)\right)\sqrt{2-\frac{7}{4}}}{\left(-\frac{5}{3}\right)^{-1}+\frac{1}{2}-\left(-2\right)^{-2}}$$

Żid -\frac{3}{4} u \frac{7}{6} biex tikseb \frac{5}{12}.

$$\frac{\left(\frac{1}{2}-\frac{5}{12}\right)\sqrt{2-\frac{7}{4}}}{\left(-\frac{5}{3}\right)^{-1}+\frac{1}{2}-\left(-2\right)^{-2}}$$

Naqqas \frac{5}{12} minn \frac{1}{2} biex tikseb \frac{1}{12}.

$$\frac{\frac{1}{12}\sqrt{2-\frac{7}{4}}}{\left(-\frac{5}{3}\right)^{-1}+\frac{1}{2}-\left(-2\right)^{-2}}$$

Naqqas \frac{7}{4} minn 2 biex tikseb \frac{1}{4}.

$$\frac{\frac{1}{12}\sqrt{\frac{1}{4}}}{\left(-\frac{5}{3}\right)^{-1}+\frac{1}{2}-\left(-2\right)^{-2}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \frac{1}{4} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{1}}{\sqrt{4}}. Ħu r-radiċi kwadrata tan-numeratur u d-denominatur.

$$\frac{\frac{1}{12}\times \frac{1}{2}}{\left(-\frac{5}{3}\right)^{-1}+\frac{1}{2}-\left(-2\right)^{-2}}$$

Immultiplika \frac{1}{12} u \frac{1}{2} biex tikseb \frac{1}{24}.

$$\frac{\frac{1}{24}}{\left(-\frac{5}{3}\right)^{-1}+\frac{1}{2}-\left(-2\right)^{-2}}$$

Ikkalkula -\frac{5}{3} bil-power ta' -1 u tikseb -\frac{3}{5}.

$$\frac{\frac{1}{24}}{-\frac{3}{5}+\frac{1}{2}-\left(-2\right)^{-2}}$$

Żid -\frac{3}{5} u \frac{1}{2} biex tikseb -\frac{1}{10}.

$$\frac{\frac{1}{24}}{-\frac{1}{10}-\left(-2\right)^{-2}}$$

Ikkalkula -2 bil-power ta' -2 u tikseb \frac{1}{4}.

$$\frac{\frac{1}{24}}{-\frac{1}{10}-\frac{1}{4}}$$

Naqqas \frac{1}{4} minn -\frac{1}{10} biex tikseb -\frac{7}{20}.

$$\frac{\frac{1}{24}}{-\frac{7}{20}}$$

Iddividi \frac{1}{24} b'-\frac{7}{20} billi timmultiplika \frac{1}{24} bir-reċiproku ta' -\frac{7}{20}.

$$\frac{1}{24}\left(-\frac{20}{7}\right)$$

Immultiplika \frac{1}{24} u -\frac{20}{7} biex tikseb -\frac{5}{42}.

$$-\frac{5}{42}$$

Fattur

$$-\frac{5}{42} = -0.11904761904761904$$