Issolvi frac{sqrt{2}(-8sqrt{15})sqrt{2}}{-2sqrt{5}}

$$\frac{ \sqrt{ 2 } (-8 \sqrt{ 15 } ) \sqrt{ 2 } }{ -2 \sqrt{ 5 } }$$

Evalwa

$$8\sqrt{3}\approx 13.856406461$$

Passi tas-Soluzzjonijiet

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

$$\frac{2\left(-8\right)\sqrt{15}}{-2\sqrt{5}}$$

Annulla 2 fin-numeratur u d-denominatur.

$$\frac{-8\sqrt{15}}{-\sqrt{5}}$$

Annulla -1 fin-numeratur u d-denominatur.

$$\frac{8\sqrt{15}}{\sqrt{5}}$$

Irrazzjonalizza d-denominatur tal-\frac{8\sqrt{15}}{\sqrt{5}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{5}.

$$\frac{8\sqrt{15}\sqrt{5}}{\left(\sqrt{5}\right)^{2}}$$

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

$$\frac{8\sqrt{15}\sqrt{5}}{5}$$

Iffattura 15=5\times 3. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{5\times 3} bħala l-prodott tal-għeruq kwadrati \sqrt{5}\sqrt{3}.

$$\frac{8\sqrt{5}\sqrt{3}\sqrt{5}}{5}$$

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

$$\frac{8\times 5\sqrt{3}}{5}$$

Annulla 5 u 5.

$$8\sqrt{3}$$