Whakaoti i te -sqrt{62/3}

$$- \sqrt { 6 \frac { 2 } { 3 } }$$

Aromātai

$$-\frac{2\sqrt{15}}{3}\approx -2.581988897$$

Ngā Upane Otinga

Whakareatia te 6 ki te 3, ka 18.

$$-\sqrt{\frac{18+2}{3}}$$

Tāpirihia te 18 ki te 2, ka 20.

$$-\sqrt{\frac{20}{3}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{20}{3}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{20}}{\sqrt{3}}.

$$-\frac{\sqrt{20}}{\sqrt{3}}$$

Tauwehea te 20=2^{2}\times 5. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 5} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{5}. Tuhia te pūtakerua o te 2^{2}.

$$-\frac{2\sqrt{5}}{\sqrt{3}}$$

Whakangāwaritia te tauraro o \frac{2\sqrt{5}}{\sqrt{3}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{3}.

$$-\frac{2\sqrt{5}\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

Ko te pūrua o \sqrt{3} ko 3.

$$-\frac{2\sqrt{5}\sqrt{3}}{3}$$

Hei whakarea \sqrt{5} me \sqrt{3}, whakareatia ngā tau i raro i te pūtake rua.

$$-\frac{2\sqrt{15}}{3}$$