Issolvi (-3sqrt{2/3})^2

$$( - 3 \sqrt { \frac { 2 } { 3 } } ) ^ { 2 }$$

Evalwa

$$6$$

Passi tas-Soluzzjonijiet

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{2}{3}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{2}}{\sqrt{3}}.

$$\left(-3\times \frac{\sqrt{2}}{\sqrt{3}}\right)^{2}$$

Irrazzjonalizza d-denominatur tal-\frac{\sqrt{2}}{\sqrt{3}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{3}.

$$\left(-3\times \frac{\sqrt{2}\sqrt{3}}{\left(\sqrt{3}\right)^{2}}\right)^{2}$$

Il-kwadrat ta' \sqrt{3} huwa 3.

$$\left(-3\times \frac{\sqrt{2}\sqrt{3}}{3}\right)^{2}$$

Biex timmultiplika \sqrt{2} u \sqrt{3}, immultiplika n-numri taħt l-għerq kwadrat.

$$\left(-3\times \frac{\sqrt{6}}{3}\right)^{2}$$

Annulla 3 u 3.

$$\left(-\sqrt{6}\right)^{2}$$

Espandi \left(-\sqrt{6}\right)^{2}.

$$\left(-1\right)^{2}\left(\sqrt{6}\right)^{2}$$

Ikkalkula -1 bil-power ta' 2 u tikseb 1.

$$1\left(\sqrt{6}\right)^{2}$$

Il-kwadrat ta' \sqrt{6} huwa 6.

$$1\times 6$$

Immultiplika 1 u 6 biex tikseb 6.

$$6$$

Fattur

$$2\times 3$$