Whakaoti i te sqrt{36+16/3}

$$\sqrt { 36 + \frac { 16 } { 3 } }$$

Aromātai

$$\frac{2\sqrt{93}}{3}\approx 6.429100507$$

Ngā Upane Otinga

Me tahuri te 36 ki te hautau \frac{108}{3}.

$$\sqrt{\frac{108}{3}+\frac{16}{3}}$$

Tā te mea he rite te tauraro o \frac{108}{3} me \frac{16}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\sqrt{\frac{108+16}{3}}$$

Tāpirihia te 108 ki te 16, ka 124.

$$\sqrt{\frac{124}{3}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{124}{3}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{124}}{\sqrt{3}}.

$$\frac{\sqrt{124}}{\sqrt{3}}$$

Tauwehea te 124=2^{2}\times 31. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 31} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{31}. Tuhia te pūtakerua o te 2^{2}.

$$\frac{2\sqrt{31}}{\sqrt{3}}$$

Whakangāwaritia te tauraro o \frac{2\sqrt{31}}{\sqrt{3}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{3}.

$$\frac{2\sqrt{31}\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

Ko te pūrua o \sqrt{3} ko 3.

$$\frac{2\sqrt{31}\sqrt{3}}{3}$$

Hei whakarea \sqrt{31} me \sqrt{3}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{2\sqrt{93}}{3}$$