Issolvi 2-(2/sqrt{6})^2

$$2 - ( \frac { 2 } { \sqrt { 6 } } ) ^ { 2 }$$

Evalwa

$$\frac{4}{3}\approx 1.333333333$$

Passi tas-Soluzzjonijiet

Irrazzjonalizza d-denominatur tal-\frac{2}{\sqrt{6}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{6}.

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

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

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

Iddividi 2\sqrt{6} b'6 biex tikseb\frac{1}{3}\sqrt{6}.

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

Espandi \left(\frac{1}{3}\sqrt{6}\right)^{2}.

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

Ikkalkula \frac{1}{3} bil-power ta' 2 u tikseb \frac{1}{9}.

$$2-\frac{1}{9}\left(\sqrt{6}\right)^{2}$$

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

$$2-\frac{1}{9}\times 6$$

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

$$2-\frac{2}{3}$$

Naqqas \frac{2}{3} minn 2 biex tikseb \frac{4}{3}.

$$\frac{4}{3}$$

Fattur

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$