Datrys sqrt{0.3467(1-0.3467)/40+0.3467(1-0.3467)/35}

$$\sqrt { \frac { 0.3467 ( 1 - 0.3467 ) } { 40 } + \frac { 0.3467 ( 1 - 0.3467 ) } { 35 } }$$

Enrhifo

$$\frac{\sqrt{951296262}}{280000}\approx 0.110153896$$

Camau Ateb

Tynnu 0.3467 o 1 i gael 0.6533.

$$\sqrt{\frac{0.3467\times 0.6533}{40}+\frac{0.3467\left(1-0.3467\right)}{35}}$$

Lluosi 0.3467 a 0.6533 i gael 0.22649911.

$$\sqrt{\frac{0.22649911}{40}+\frac{0.3467\left(1-0.3467\right)}{35}}$$

Ehangu \frac{0.22649911}{40} drwy luosi'r rhifiadur a'r enwadur gyda 100000000.

$$\sqrt{\frac{22649911}{4000000000}+\frac{0.3467\left(1-0.3467\right)}{35}}$$

Tynnu 0.3467 o 1 i gael 0.6533.

$$\sqrt{\frac{22649911}{4000000000}+\frac{0.3467\times 0.6533}{35}}$$

Lluosi 0.3467 a 0.6533 i gael 0.22649911.

$$\sqrt{\frac{22649911}{4000000000}+\frac{0.22649911}{35}}$$

Ehangu \frac{0.22649911}{35} drwy luosi'r rhifiadur a'r enwadur gyda 100000000.

$$\sqrt{\frac{22649911}{4000000000}+\frac{22649911}{3500000000}}$$

Lluosrif lleiaf cyffredin 4000000000 a 3500000000 yw 28000000000. Troswch \frac{22649911}{4000000000} a \frac{22649911}{3500000000} yn ffracsiynau gyda’r enwadur 28000000000.

$$\sqrt{\frac{158549377}{28000000000}+\frac{181199288}{28000000000}}$$

Gan fod gan \frac{158549377}{28000000000} a \frac{181199288}{28000000000} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\sqrt{\frac{158549377+181199288}{28000000000}}$$

Adio 158549377 a 181199288 i gael 339748665.

$$\sqrt{\frac{339748665}{28000000000}}$$

Lleihau'r ffracsiwn \frac{339748665}{28000000000} i'r graddau lleiaf posib drwy dynnu a chanslo allan 5.

$$\sqrt{\frac{67949733}{5600000000}}$$

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{67949733}{5600000000}} fel rhaniad ail israddau \frac{\sqrt{67949733}}{\sqrt{5600000000}}.

$$\frac{\sqrt{67949733}}{\sqrt{5600000000}}$$

Ffactora 5600000000=20000^{2}\times 14. Ailysgrifennu ail isradd y lluoswm \sqrt{20000^{2}\times 14} fel lluoswm ail israddau \sqrt{20000^{2}}\sqrt{14}. Cymryd isradd 20000^{2}.

$$\frac{\sqrt{67949733}}{20000\sqrt{14}}$$

Mae'n rhesymoli enwadur \frac{\sqrt{67949733}}{20000\sqrt{14}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{14}.

$$\frac{\sqrt{67949733}\sqrt{14}}{20000\left(\sqrt{14}\right)^{2}}$$

Sgwâr \sqrt{14} yw 14.

$$\frac{\sqrt{67949733}\sqrt{14}}{20000\times 14}$$

I luosi \sqrt{67949733} a \sqrt{14}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{\sqrt{951296262}}{20000\times 14}$$

Lluosi 20000 a 14 i gael 280000.

$$\frac{\sqrt{951296262}}{280000}$$