Issolvi -2/2sqrt{2}*frac{sqrt{6}}{3}

$$\frac { - 2 } { 2 \sqrt { 2 } } \times \frac { \sqrt { 6 } } { 3 }$$

Evalwa

$$-\frac{\sqrt{3}}{3}\approx -0.577350269$$

Passi tas-Soluzzjonijiet

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

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

Il-kwadrat ta' \sqrt{2} huwa 2.

$$\frac{-2\sqrt{2}}{2\times 2}\times \frac{\sqrt{6}}{3}$$

Annulla 2 fin-numeratur u d-denominatur.

$$\frac{-\sqrt{2}}{2}\times \frac{\sqrt{6}}{3}$$

Immultiplika \frac{-\sqrt{2}}{2} b'\frac{\sqrt{6}}{3} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{-\sqrt{2}\sqrt{6}}{2\times 3}$$

Iffattura 6=2\times 3. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2\times 3} bħala l-prodott tal-għeruq kwadrati \sqrt{2}\sqrt{3}.

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

Immultiplika \sqrt{2} u \sqrt{2} biex tikseb 2.

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

Immultiplika 2 u 3 biex tikseb 6.

$$\frac{-2\sqrt{3}}{6}$$

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

$$-\frac{1}{3}\sqrt{3}$$