Datrys sqrt{0.55(1-0.55)/1000}

$$\sqrt { \frac { 0.55 ( 1 - 0.55 ) } { 1000 } }$$

Enrhifo

$$\frac{3\sqrt{110}}{2000}\approx 0.015732133$$

Camau Ateb

Tynnu 0.55 o 1 i gael 0.45.

$$\sqrt{\frac{0.55\times 0.45}{1000}}$$

Lluosi 0.55 a 0.45 i gael 0.2475.

$$\sqrt{\frac{0.2475}{1000}}$$

Ehangu \frac{0.2475}{1000} drwy luosi'r rhifiadur a'r enwadur gyda 10000.

$$\sqrt{\frac{2475}{10000000}}$$

Lleihau'r ffracsiwn \frac{2475}{10000000} i'r graddau lleiaf posib drwy dynnu a chanslo allan 25.

$$\sqrt{\frac{99}{400000}}$$

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{99}{400000}} fel rhaniad ail israddau \frac{\sqrt{99}}{\sqrt{400000}}.

$$\frac{\sqrt{99}}{\sqrt{400000}}$$

Ffactora 99=3^{2}\times 11. Ailysgrifennu ail isradd y lluoswm \sqrt{3^{2}\times 11} fel lluoswm ail israddau \sqrt{3^{2}}\sqrt{11}. Cymryd isradd 3^{2}.

$$\frac{3\sqrt{11}}{\sqrt{400000}}$$

Ffactora 400000=200^{2}\times 10. Ailysgrifennu ail isradd y lluoswm \sqrt{200^{2}\times 10} fel lluoswm ail israddau \sqrt{200^{2}}\sqrt{10}. Cymryd isradd 200^{2}.

$$\frac{3\sqrt{11}}{200\sqrt{10}}$$

Mae'n rhesymoli enwadur \frac{3\sqrt{11}}{200\sqrt{10}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{10}.

$$\frac{3\sqrt{11}\sqrt{10}}{200\left(\sqrt{10}\right)^{2}}$$

Sgwâr \sqrt{10} yw 10.

$$\frac{3\sqrt{11}\sqrt{10}}{200\times 10}$$

I luosi \sqrt{11} a \sqrt{10}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{3\sqrt{110}}{200\times 10}$$

Lluosi 200 a 10 i gael 2000.

$$\frac{3\sqrt{110}}{2000}$$