Issolvi 2sqrt{3/2}

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

Evalwa

$$\sqrt{6}\approx 2.449489743$$

Passi tas-Soluzzjonijiet

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

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

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

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

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

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

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

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

Annulla 2 u 2.

$$\sqrt{6}$$