Whakaoti i te 1divsqrt{1-299^2div300^2}

$$1 \div \sqrt{ 1- { 299 }^{ 2 } \div { 300 }^{ 2 } }$$

Aromātai

$$\frac{300\sqrt{599}}{599}\approx 12.257667697$$

Ngā Upane Otinga

Tātaihia te 299 mā te pū o 2, kia riro ko 89401.

$$\frac{1}{\sqrt{1-\frac{89401}{300^{2}}}}$$

Tātaihia te 300 mā te pū o 2, kia riro ko 90000.

$$\frac{1}{\sqrt{1-\frac{89401}{90000}}}$$

Me tahuri te 1 ki te hautau \frac{90000}{90000}.

$$\frac{1}{\sqrt{\frac{90000}{90000}-\frac{89401}{90000}}}$$

Tā te mea he rite te tauraro o \frac{90000}{90000} me \frac{89401}{90000}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1}{\sqrt{\frac{90000-89401}{90000}}}$$

Tangohia te 89401 i te 90000, ka 599.

$$\frac{1}{\sqrt{\frac{599}{90000}}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{599}{90000}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{599}}{\sqrt{90000}}.

$$\frac{1}{\frac{\sqrt{599}}{\sqrt{90000}}}$$

Tātaitia te pūtakerua o 90000 kia tae ki 300.

$$\frac{1}{\frac{\sqrt{599}}{300}}$$

Whakawehe 1 ki te \frac{\sqrt{599}}{300} mā te whakarea 1 ki te tau huripoki o \frac{\sqrt{599}}{300}.

$$\frac{300}{\sqrt{599}}$$

Whakangāwaritia te tauraro o \frac{300}{\sqrt{599}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{599}.

$$\frac{300\sqrt{599}}{\left(\sqrt{599}\right)^{2}}$$

Ko te pūrua o \sqrt{599} ko 599.

$$\frac{300\sqrt{599}}{599}$$