Issolvi 196(sqrt{306*694/2258})

$$196 ( \sqrt { \frac { 306 \times 694 } { 2258 } } )$$

Evalwa

$$\frac{588\sqrt{13319942}}{1129}\approx 1900.791805549$$

Passi tas-Soluzzjonijiet

Immultiplika 306 u 694 biex tikseb 212364.

$$196\sqrt{\frac{212364}{2258}}$$

Naqqas il-frazzjoni \frac{212364}{2258} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$196\sqrt{\frac{106182}{1129}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{106182}{1129}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{106182}}{\sqrt{1129}}.

$$196\times \frac{\sqrt{106182}}{\sqrt{1129}}$$

Iffattura 106182=3^{2}\times 11798. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{3^{2}\times 11798} bħala l-prodott tal-għeruq kwadrati \sqrt{3^{2}}\sqrt{11798}. Ħu l-għerq kwadrat ta' 3^{2}.

$$196\times \frac{3\sqrt{11798}}{\sqrt{1129}}$$

Irrazzjonalizza d-denominatur tal-\frac{3\sqrt{11798}}{\sqrt{1129}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{1129}.

$$196\times \frac{3\sqrt{11798}\sqrt{1129}}{\left(\sqrt{1129}\right)^{2}}$$

Il-kwadrat ta' \sqrt{1129} huwa 1129.

$$196\times \frac{3\sqrt{11798}\sqrt{1129}}{1129}$$

Biex timmultiplika \sqrt{11798} u \sqrt{1129}, immultiplika n-numri taħt l-għerq kwadrat.

$$196\times \frac{3\sqrt{13319942}}{1129}$$

Esprimi 196\times \frac{3\sqrt{13319942}}{1129} bħala frazzjoni waħda.

$$\frac{196\times 3\sqrt{13319942}}{1129}$$

Immultiplika 196 u 3 biex tikseb 588.

$$\frac{588\sqrt{13319942}}{1129}$$