Whakaoti i te 12/sqrt{1-frac{100{910^16}}}

$$\frac{ 12 }{ \sqrt{ 1- \frac{ 100 }{ 9 { 10 }^{ 16 } } } }$$

Aromātai

$$\frac{360000000\sqrt{899999999999999}}{899999999999999}\approx 12$$

Ngā Upane Otinga

Tātaihia te 10 mā te pū o 16, kia riro ko 10000000000000000.

$$\frac{12}{\sqrt{1-\frac{100}{9\times 10000000000000000}}}$$

Whakareatia te 9 ki te 10000000000000000, ka 90000000000000000.

$$\frac{12}{\sqrt{1-\frac{100}{90000000000000000}}}$$

Whakahekea te hautanga \frac{100}{90000000000000000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 100.

$$\frac{12}{\sqrt{1-\frac{1}{900000000000000}}}$$

Me tahuri te 1 ki te hautau \frac{900000000000000}{900000000000000}.

$$\frac{12}{\sqrt{\frac{900000000000000}{900000000000000}-\frac{1}{900000000000000}}}$$

Tā te mea he rite te tauraro o \frac{900000000000000}{900000000000000} me \frac{1}{900000000000000}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{12}{\sqrt{\frac{900000000000000-1}{900000000000000}}}$$

Tangohia te 1 i te 900000000000000, ka 899999999999999.

$$\frac{12}{\sqrt{\frac{899999999999999}{900000000000000}}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{899999999999999}{900000000000000}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{899999999999999}}{\sqrt{900000000000000}}.

$$\frac{12}{\frac{\sqrt{899999999999999}}{\sqrt{900000000000000}}}$$

Tātaitia te pūtakerua o 900000000000000 kia tae ki 30000000.

$$\frac{12}{\frac{\sqrt{899999999999999}}{30000000}}$$

Whakawehe 12 ki te \frac{\sqrt{899999999999999}}{30000000} mā te whakarea 12 ki te tau huripoki o \frac{\sqrt{899999999999999}}{30000000}.

$$\frac{12\times 30000000}{\sqrt{899999999999999}}$$

Whakangāwaritia te tauraro o \frac{12\times 30000000}{\sqrt{899999999999999}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{899999999999999}.

$$\frac{12\times 30000000\sqrt{899999999999999}}{\left(\sqrt{899999999999999}\right)^{2}}$$

Ko te pūrua o \sqrt{899999999999999} ko 899999999999999.

$$\frac{12\times 30000000\sqrt{899999999999999}}{899999999999999}$$

Whakareatia te 12 ki te 30000000, ka 360000000.

$$\frac{360000000\sqrt{899999999999999}}{899999999999999}$$