Issolvi sqrt{0.103(1-0.103)/65}=

$$\sqrt { \frac { 0.103 ( 1 - 0.103 ) } { 65 } } =$$

Evalwa

$$\frac{\sqrt{35535}}{5000}\approx 0.037701459$$

Passi tas-Soluzzjonijiet

Naqqas 0.103 minn 1 biex tikseb 0.897.

$$\sqrt{\frac{0.103\times 0.897}{65}}$$

Immultiplika 0.103 u 0.897 biex tikseb 0.092391.

$$\sqrt{\frac{0.092391}{65}}$$

Espandi \frac{0.092391}{65} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'1000000.

$$\sqrt{\frac{92391}{65000000}}$$

Naqqas il-frazzjoni \frac{92391}{65000000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 13.

$$\sqrt{\frac{7107}{5000000}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{7107}{5000000}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{7107}}{\sqrt{5000000}}.

$$\frac{\sqrt{7107}}{\sqrt{5000000}}$$

Iffattura 5000000=1000^{2}\times 5. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{1000^{2}\times 5} bħala l-prodott tal-għeruq kwadrati \sqrt{1000^{2}}\sqrt{5}. Ħu l-għerq kwadrat ta' 1000^{2}.

$$\frac{\sqrt{7107}}{1000\sqrt{5}}$$

Irrazzjonalizza d-denominatur tal-\frac{\sqrt{7107}}{1000\sqrt{5}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{5}.

$$\frac{\sqrt{7107}\sqrt{5}}{1000\left(\sqrt{5}\right)^{2}}$$

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

$$\frac{\sqrt{7107}\sqrt{5}}{1000\times 5}$$

Biex timmultiplika \sqrt{7107} u \sqrt{5}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{\sqrt{35535}}{1000\times 5}$$

Immultiplika 1000 u 5 biex tikseb 5000.

$$\frac{\sqrt{35535}}{5000}$$