Issolvi sqrt{.528(1-.528)div1200}

$$\sqrt{ .528(1-.528) \div 1200 }$$

Evalwa

$$\frac{\sqrt{1298}}{2500}\approx 0.014411107$$

Passi tas-Soluzzjonijiet

Naqqas 0.528 minn 1 biex tikseb 0.472.

$$\sqrt{\frac{0.528\times 0.472}{1200}}$$

Immultiplika 0.528 u 0.472 biex tikseb 0.249216.

$$\sqrt{\frac{0.249216}{1200}}$$

Espandi \frac{0.249216}{1200} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'1000000.

$$\sqrt{\frac{249216}{1200000000}}$$

Naqqas il-frazzjoni \frac{249216}{1200000000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 384.

$$\sqrt{\frac{649}{3125000}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{649}{3125000}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{649}}{\sqrt{3125000}}.

$$\frac{\sqrt{649}}{\sqrt{3125000}}$$

Iffattura 3125000=1250^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{1250^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{1250^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' 1250^{2}.

$$\frac{\sqrt{649}}{1250\sqrt{2}}$$

Irrazzjonalizza d-denominatur tal-\frac{\sqrt{649}}{1250\sqrt{2}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{2}.

$$\frac{\sqrt{649}\sqrt{2}}{1250\left(\sqrt{2}\right)^{2}}$$

Il-kwadrat ta' \sqrt{2} huwa 2.

$$\frac{\sqrt{649}\sqrt{2}}{1250\times 2}$$

Biex timmultiplika \sqrt{649} u \sqrt{2}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{\sqrt{1298}}{1250\times 2}$$

Immultiplika 1250 u 2 biex tikseb 2500.

$$\frac{\sqrt{1298}}{2500}$$