Issolvi -{[(1/sqrt{4})-(-1/sqrt{9})]+(-sqrt{4})^3+2(sqrt{16}-1/2)}div(3/4)

$$- \{ [ ( \frac { 1 } { \sqrt { 4 } } ) - ( - \frac { 1 } { \sqrt { 9 } } ) ] + ( - \sqrt { 4 } ) ^ { 3 } + 2 ( \sqrt { 16 } - \frac { 1 } { 2 } ) \} \div ( \frac { 3 } { 4 } )$$

Evalwa

$$\frac{2}{9}\approx 0.222222222$$

Passi tas-Soluzzjonijiet

Ikkalkula l-għerq kwadrat ta' 4 u ikseb 2.

$$\frac{-\left(\frac{1}{2}-\left(-\frac{1}{\sqrt{9}}\right)+\left(-\sqrt{4}\right)^{3}+2\left(\sqrt{16}-\frac{1}{2}\right)\right)}{\frac{3}{4}}$$

Ikkalkula l-għerq kwadrat ta' 9 u ikseb 3.

$$\frac{-\left(\frac{1}{2}-\left(-\frac{1}{3}\right)+\left(-\sqrt{4}\right)^{3}+2\left(\sqrt{16}-\frac{1}{2}\right)\right)}{\frac{3}{4}}$$

L-oppost ta' -\frac{1}{3} huwa \frac{1}{3}.

$$\frac{-\left(\frac{1}{2}+\frac{1}{3}+\left(-\sqrt{4}\right)^{3}+2\left(\sqrt{16}-\frac{1}{2}\right)\right)}{\frac{3}{4}}$$

Żid \frac{1}{2} u \frac{1}{3} biex tikseb \frac{5}{6}.

$$\frac{-\left(\frac{5}{6}+\left(-\sqrt{4}\right)^{3}+2\left(\sqrt{16}-\frac{1}{2}\right)\right)}{\frac{3}{4}}$$

Ikkalkula l-għerq kwadrat ta' 4 u ikseb 2.

$$\frac{-\left(\frac{5}{6}+\left(-2\right)^{3}+2\left(\sqrt{16}-\frac{1}{2}\right)\right)}{\frac{3}{4}}$$

Ikkalkula -2 bil-power ta' 3 u tikseb -8.

$$\frac{-\left(\frac{5}{6}-8+2\left(\sqrt{16}-\frac{1}{2}\right)\right)}{\frac{3}{4}}$$

Naqqas 8 minn \frac{5}{6} biex tikseb -\frac{43}{6}.

$$\frac{-\left(-\frac{43}{6}+2\left(\sqrt{16}-\frac{1}{2}\right)\right)}{\frac{3}{4}}$$

Ikkalkula l-għerq kwadrat ta' 16 u ikseb 4.

$$\frac{-\left(-\frac{43}{6}+2\left(4-\frac{1}{2}\right)\right)}{\frac{3}{4}}$$

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

$$\frac{-\left(-\frac{43}{6}+2\times \frac{7}{2}\right)}{\frac{3}{4}}$$

Immultiplika 2 u \frac{7}{2} biex tikseb 7.

$$\frac{-\left(-\frac{43}{6}+7\right)}{\frac{3}{4}}$$

Żid -\frac{43}{6} u 7 biex tikseb -\frac{1}{6}.

$$\frac{-\left(-\frac{1}{6}\right)}{\frac{3}{4}}$$

L-oppost ta' -\frac{1}{6} huwa \frac{1}{6}.

$$\frac{\frac{1}{6}}{\frac{3}{4}}$$

Iddividi \frac{1}{6} b'\frac{3}{4} billi timmultiplika \frac{1}{6} bir-reċiproku ta' \frac{3}{4}.

$$\frac{1}{6}\times \frac{4}{3}$$

Immultiplika \frac{1}{6} u \frac{4}{3} biex tikseb \frac{2}{9}.

$$\frac{2}{9}$$

Fattur

$$\frac{2}{3 ^ {2}} = 0.2222222222222222$$