Issolvi sqrt{left(12-1right)(103429.24)/26.757}

$$\sqrt{ \frac{ \left( 12-1 \right) (103429.24) }{ 26.757 } }$$

Evalwa

$$\frac{2\sqrt{845611608930}}{8919}\approx 206.205051411$$

Passi tas-Soluzzjonijiet

Naqqas 1 minn 12 biex tikseb 11.

$$\sqrt{\frac{11\times 103429.24}{26.757}}$$

Immultiplika 11 u 103429.24 biex tikseb 1137721.64.

$$\sqrt{\frac{1137721.64}{26.757}}$$

Espandi \frac{1137721.64}{26.757} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'1000.

$$\sqrt{\frac{1137721640}{26757}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{1137721640}{26757}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{1137721640}}{\sqrt{26757}}.

$$\frac{\sqrt{1137721640}}{\sqrt{26757}}$$

Iffattura 1137721640=2^{2}\times 284430410. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2^{2}\times 284430410} bħala l-prodott tal-għeruq kwadrati \sqrt{2^{2}}\sqrt{284430410}. Ħu l-għerq kwadrat ta' 2^{2}.

$$\frac{2\sqrt{284430410}}{\sqrt{26757}}$$

Iffattura 26757=3^{2}\times 2973. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{3^{2}\times 2973} bħala l-prodott tal-għeruq kwadrati \sqrt{3^{2}}\sqrt{2973}. Ħu l-għerq kwadrat ta' 3^{2}.

$$\frac{2\sqrt{284430410}}{3\sqrt{2973}}$$

Irrazzjonalizza d-denominatur tal-\frac{2\sqrt{284430410}}{3\sqrt{2973}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{2973}.

$$\frac{2\sqrt{284430410}\sqrt{2973}}{3\left(\sqrt{2973}\right)^{2}}$$

Il-kwadrat ta' \sqrt{2973} huwa 2973.

$$\frac{2\sqrt{284430410}\sqrt{2973}}{3\times 2973}$$

Biex timmultiplika \sqrt{284430410} u \sqrt{2973}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{2\sqrt{845611608930}}{3\times 2973}$$

Immultiplika 3 u 2973 biex tikseb 8919.

$$\frac{2\sqrt{845611608930}}{8919}$$