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

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

Evalwa

$$2$$

Passi tas-Soluzzjonijiet

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}.

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

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

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

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

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

Il-kwadrat ta' \sqrt{5} huwa 5.

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

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

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

Immultiplika 2 u 5 biex tikseb 10.

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

Iddividi 10 b'5 biex tikseb2.

$$2$$

Fattur

$$2$$