Whakaoti i te sqrt{1+1/3}

$$\sqrt{ 1+ \frac{ 1 }{ 3 } }$$

Aromātai

$$\frac{2\sqrt{3}}{3}\approx 1.154700538$$

Ngā Upane Otinga

Me tahuri te 1 ki te hautau \frac{3}{3}.

$$\sqrt{\frac{3}{3}+\frac{1}{3}}$$

Tā te mea he rite te tauraro o \frac{3}{3} me \frac{1}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\sqrt{\frac{3+1}{3}}$$

Tāpirihia te 3 ki te 1, ka 4.

$$\sqrt{\frac{4}{3}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{4}{3}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{4}}{\sqrt{3}}.

$$\frac{\sqrt{4}}{\sqrt{3}}$$

Tātaitia te pūtakerua o 4 kia tae ki 2.

$$\frac{2}{\sqrt{3}}$$

Whakangāwaritia te tauraro o \frac{2}{\sqrt{3}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{3}.

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

Ko te pūrua o \sqrt{3} ko 3.

$$\frac{2\sqrt{3}}{3}$$