Issolvi 8sqrt{10}:sqrt{2}

$$8 \sqrt { 10 } : \sqrt { 2 }$$

Evalwa

$$8\sqrt{5}\approx 17.88854382$$

Passi tas-Soluzzjonijiet

Irrazzjonalizza d-denominatur tal-\frac{8\sqrt{10}}{\sqrt{2}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{2}.

$$\frac{8\sqrt{10}\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

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

$$\frac{8\sqrt{10}\sqrt{2}}{2}$$

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

$$\frac{8\sqrt{2}\sqrt{5}\sqrt{2}}{2}$$

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

$$\frac{8\times 2\sqrt{5}}{2}$$

Annulla 2 u 2.

$$8\sqrt{5}$$