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

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

Enrhifo

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

Camau Ateb

Tynnu 0.083 o 1 i gael 0.917.

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

Lluosi 0.083 a 0.917 i gael 0.076111.

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

Ehangu \frac{0.076111}{80} drwy luosi'r rhifiadur a'r enwadur gyda 1000000.

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

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{76111}{80000000}} fel rhaniad ail israddau \frac{\sqrt{76111}}{\sqrt{80000000}}.

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

Ffactora 80000000=4000^{2}\times 5. Ailysgrifennu ail isradd y lluoswm \sqrt{4000^{2}\times 5} fel lluoswm ail israddau \sqrt{4000^{2}}\sqrt{5}. Cymryd isradd 4000^{2}.

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

Mae'n rhesymoli enwadur \frac{\sqrt{76111}}{4000\sqrt{5}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{5}.

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

Sgwâr \sqrt{5} yw 5.

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

I luosi \sqrt{76111} a \sqrt{5}, dylid lluosi'r rhifau dan yr ail isradd.

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

Lluosi 4000 a 5 i gael 20000.

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