Issolvi 2/sqrt{3}-sqrt{2}

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

Evalwa

$$\frac{\sqrt{2}\left(\sqrt{6}-3\right)}{3}\approx -0.259513024$$

Passi Qosra tas-Soluzzjonijiet

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

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

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

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

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. Immultiplika \sqrt{2} b'\frac{3}{3}.

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

Billi \frac{2\sqrt{3}}{3} u \frac{3\sqrt{2}}{3} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

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

Fattur

$$\frac{\sqrt{2} {(\sqrt{2} \sqrt{3} - 3)}}{3} = -0.2595130239938434$$