Issolvi sqrt{0.083(1-0.083)/80}

$$\sqrt { \frac { 0.083 ( 1 - 0.083 ) } { 80 } }$$

Evalwa

$$\frac{\sqrt{380555}}{20000}\approx 0.03084457$$

Passi tas-Soluzzjonijiet

Naqqas 0.083 minn 1 biex tikseb 0.917.

$$\sqrt{\frac{0.083\times 0.917}{80}}$$

Immultiplika 0.083 u 0.917 biex tikseb 0.076111.

$$\sqrt{\frac{0.076111}{80}}$$

Espandi \frac{0.076111}{80} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'1000000.

$$\sqrt{\frac{76111}{80000000}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{76111}{80000000}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{76111}}{\sqrt{80000000}}.

$$\frac{\sqrt{76111}}{\sqrt{80000000}}$$

Iffattura 80000000=4000^{2}\times 5. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{4000^{2}\times 5} bħala l-prodott tal-għeruq kwadrati \sqrt{4000^{2}}\sqrt{5}. Ħu l-għerq kwadrat ta' 4000^{2}.

$$\frac{\sqrt{76111}}{4000\sqrt{5}}$$

Irrazzjonalizza d-denominatur tal-\frac{\sqrt{76111}}{4000\sqrt{5}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{5}.

$$\frac{\sqrt{76111}\sqrt{5}}{4000\left(\sqrt{5}\right)^{2}}$$

Il-kwadrat ta' \sqrt{5} huwa 5.

$$\frac{\sqrt{76111}\sqrt{5}}{4000\times 5}$$

Biex timmultiplika \sqrt{76111} u \sqrt{5}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{\sqrt{380555}}{4000\times 5}$$

Immultiplika 4000 u 5 biex tikseb 20000.

$$\frac{\sqrt{380555}}{20000}$$