Issolvi frac{400sqrt{6}}{100sqrt{3}}

$$\frac { 400 \sqrt { 6 } } { 100 \sqrt { 3 } }$$

Evalwa

$$4\sqrt{2}\approx 5.656854249$$

Passi tas-Soluzzjonijiet

Annulla 100 fin-numeratur u d-denominatur.

$$\frac{4\sqrt{6}}{\sqrt{3}}$$

Irrazzjonalizza d-denominatur tal-\frac{4\sqrt{6}}{\sqrt{3}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{3}.

$$\frac{4\sqrt{6}\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

Il-kwadrat ta' \sqrt{3} huwa 3.

$$\frac{4\sqrt{6}\sqrt{3}}{3}$$

Iffattura 6=3\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{3\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{3}\sqrt{2}.

$$\frac{4\sqrt{3}\sqrt{2}\sqrt{3}}{3}$$

Immultiplika \sqrt{3} u \sqrt{3} biex tikseb 3.

$$\frac{4\times 3\sqrt{2}}{3}$$

Annulla 3 u 3.

$$4\sqrt{2}$$