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

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

Evalwa

$$\frac{\sqrt{10}}{10}\approx 0.316227766$$

Passi tas-Soluzzjonijiet

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

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

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

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

Biex timmultiplika \sqrt{5} u \sqrt{2}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{\sqrt{10}}{5\times 2}$$

Immultiplika 5 u 2 biex tikseb 10.

$$\frac{\sqrt{10}}{10}$$