Issolvi frac{sqrt{3}-1}{2sqrt{3}}

$$\frac{ \sqrt{ 3 } -1 }{ 2 \sqrt{ 3 } }$$

Evalwa

$$-\frac{\sqrt{3}}{6}+\frac{1}{2}\approx 0.211324865$$

Passi tas-Soluzzjonijiet

Irrazzjonalizza d-denominatur tal-\frac{\sqrt{3}-1}{2\sqrt{3}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{3}.

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

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

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

Immultiplika 2 u 3 biex tikseb 6.

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

Uża l-propjetà distributtiva biex timmultiplika \sqrt{3}-1 b'\sqrt{3}.

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

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

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