Whakaoti i te sqrt{0.103(1-0.103)/65}=

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

Aromātai

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

Ngā Upane Otinga

Tangohia te 0.103 i te 1, ka 0.897.

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

Whakareatia te 0.103 ki te 0.897, ka 0.092391.

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

Whakarohaina te \frac{0.092391}{65} mā te whakarea i te taurunga me te tauraro ki te 1000000.

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

Whakahekea te hautanga \frac{92391}{65000000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 13.

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

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{7107}{5000000}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{7107}}{\sqrt{5000000}}.

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

Tauwehea te 5000000=1000^{2}\times 5. Tuhia anō te pūtake rua o te hua \sqrt{1000^{2}\times 5} hei hua o ngā pūtake rua \sqrt{1000^{2}}\sqrt{5}. Tuhia te pūtakerua o te 1000^{2}.

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

Whakangāwaritia te tauraro o \frac{\sqrt{7107}}{1000\sqrt{5}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{5}.

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

Ko te pūrua o \sqrt{5} ko 5.

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

Hei whakarea \sqrt{7107} me \sqrt{5}, whakareatia ngā tau i raro i te pūtake rua.

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

Whakareatia te 1000 ki te 5, ka 5000.

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