Issolvi 5sqrt{2/5}

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

Evalwa

$$\sqrt{10}\approx 3.16227766$$

Passi tas-Soluzzjonijiet

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{2}{5}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{2}}{\sqrt{5}}.

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

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

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

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

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

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

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

Annulla 5 u 5.

$$\sqrt{10}$$