Issolvi frac{5sqrt{2}}{sqrt{6}}

$$\frac { 5 \sqrt { 2 } } { \sqrt { 6 } }$$

Evalwa

$$\frac{5\sqrt{3}}{3}\approx 2.886751346$$

Passi tas-Soluzzjonijiet

Irrazzjonalizza d-denominatur tal-\frac{5\sqrt{2}}{\sqrt{6}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{6}.

$$\frac{5\sqrt{2}\sqrt{6}}{\left(\sqrt{6}\right)^{2}}$$

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

$$\frac{5\sqrt{2}\sqrt{6}}{6}$$

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}.

$$\frac{5\sqrt{2}\sqrt{2}\sqrt{3}}{6}$$

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

$$\frac{5\times 2\sqrt{3}}{6}$$

Immultiplika 5 u 2 biex tikseb 10.

$$\frac{10\sqrt{3}}{6}$$

Iddividi 10\sqrt{3} b'6 biex tikseb\frac{5}{3}\sqrt{3}.

$$\frac{5}{3}\sqrt{3}$$