Issolvi frac{3sqrt{2}}{2sqrt{3}}

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

Evalwa

$$\frac{\sqrt{6}}{2}\approx 1.224744871$$

Passi tas-Soluzzjonijiet

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

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

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

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

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

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

Immultiplika 2 u 3 biex tikseb 6.

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

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

$$\frac{1}{2}\sqrt{6}$$