Issolvi frac{2sqrt{5}}{2sqrt{10}}

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

Evalwa

$$\frac{\sqrt{2}}{2}\approx 0.707106781$$

Passi tas-Soluzzjonijiet

Annulla 2 fin-numeratur u d-denominatur.

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

Irrazzjonalizza d-denominatur tal-\frac{\sqrt{5}}{\sqrt{10}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{10}.

$$\frac{\sqrt{5}\sqrt{10}}{\left(\sqrt{10}\right)^{2}}$$

Il-kwadrat ta' \sqrt{10} huwa 10.

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

Iffattura 10=5\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{5\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{5}\sqrt{2}.

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

Immultiplika \sqrt{5} u \sqrt{5} biex tikseb 5.

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

Iddividi 5\sqrt{2} b'10 biex tikseb\frac{1}{2}\sqrt{2}.

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