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

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

Enrhifo

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

Camau Ateb

Tynnu 0.103 o 1 i gael 0.897.

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

Lluosi 0.103 a 0.897 i gael 0.092391.

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

Ehangu \frac{0.092391}{65} drwy luosi'r rhifiadur a'r enwadur gyda 1000000.

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

Lleihau'r ffracsiwn \frac{92391}{65000000} i'r graddau lleiaf posib drwy dynnu a chanslo allan 13.

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

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{7107}{5000000}} fel rhaniad ail israddau \frac{\sqrt{7107}}{\sqrt{5000000}}.

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

Ffactora 5000000=1000^{2}\times 5. Ailysgrifennu ail isradd y lluoswm \sqrt{1000^{2}\times 5} fel lluoswm ail israddau \sqrt{1000^{2}}\sqrt{5}. Cymryd isradd 1000^{2}.

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

Mae'n rhesymoli enwadur \frac{\sqrt{7107}}{1000\sqrt{5}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{5}.

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

Sgwâr \sqrt{5} yw 5.

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

I luosi \sqrt{7107} a \sqrt{5}, dylid lluosi'r rhifau dan yr ail isradd.

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

Lluosi 1000 a 5 i gael 5000.

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