Issolvi frac{3sqrt{2}}{2sqrt{6}}

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

Evalwa

$$\frac{\sqrt{3}}{2}\approx 0.866025404$$

Passi tas-Soluzzjonijiet

Irrazzjonalizza d-denominatur tal-\frac{3\sqrt{2}}{2\sqrt{6}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{6}.

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

Il-kwadrat ta' \sqrt{6} huwa 6.

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

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}.

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

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

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

Immultiplika 2 u 6 biex tikseb 12.

$$\frac{3\times 2\sqrt{3}}{12}$$

Immultiplika 3 u 2 biex tikseb 6.

$$\frac{6\sqrt{3}}{12}$$

Iddividi 6\sqrt{3} b'12 biex tikseb\frac{1}{2}\sqrt{3}.

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