Issolvi 4455/55sqrt{frac{663{33}}}

$$\frac{ 4455 }{ 55 \sqrt{ \frac{ 663 }{ 33 } } }$$

Evalwa

$$\frac{81\sqrt{2431}}{221}\approx 18.071126441$$

Passi tas-Soluzzjonijiet

Naqqas il-frazzjoni \frac{663}{33} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 3.

$$\frac{4455}{55\sqrt{\frac{221}{11}}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{221}{11}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{221}}{\sqrt{11}}.

$$\frac{4455}{55\times \frac{\sqrt{221}}{\sqrt{11}}}$$

Irrazzjonalizza d-denominatur tal-\frac{\sqrt{221}}{\sqrt{11}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{11}.

$$\frac{4455}{55\times \frac{\sqrt{221}\sqrt{11}}{\left(\sqrt{11}\right)^{2}}}$$

Il-kwadrat ta' \sqrt{11} huwa 11.

$$\frac{4455}{55\times \frac{\sqrt{221}\sqrt{11}}{11}}$$

Biex timmultiplika \sqrt{221} u \sqrt{11}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{4455}{55\times \frac{\sqrt{2431}}{11}}$$

Ikkanċella l-akbar fattur komuni 11 f'55 u 11.

$$\frac{4455}{5\sqrt{2431}}$$

Irrazzjonalizza d-denominatur tal-\frac{4455}{5\sqrt{2431}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{2431}.

$$\frac{4455\sqrt{2431}}{5\left(\sqrt{2431}\right)^{2}}$$

Il-kwadrat ta' \sqrt{2431} huwa 2431.

$$\frac{4455\sqrt{2431}}{5\times 2431}$$

Annulla 5\times 11 fin-numeratur u d-denominatur.

$$\frac{81\sqrt{2431}}{221}$$