Whakaoti i te sqrt{2/3+1/2}

$$\sqrt { \frac { 2 } { 3 } + \frac { 1 } { 2 } }$$

Aromātai

$$\frac{\sqrt{42}}{6}\approx 1.08012345$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 3 me 2 ko 6. Me tahuri \frac{2}{3} me \frac{1}{2} ki te hautau me te tautūnga 6.

$$\sqrt{\frac{4}{6}+\frac{3}{6}}$$

Tā te mea he rite te tauraro o \frac{4}{6} me \frac{3}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\sqrt{\frac{4+3}{6}}$$

Tāpirihia te 4 ki te 3, ka 7.

$$\sqrt{\frac{7}{6}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{7}{6}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{7}}{\sqrt{6}}.

$$\frac{\sqrt{7}}{\sqrt{6}}$$

Whakangāwaritia te tauraro o \frac{\sqrt{7}}{\sqrt{6}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{6}.

$$\frac{\sqrt{7}\sqrt{6}}{\left(\sqrt{6}\right)^{2}}$$

Ko te pūrua o \sqrt{6} ko 6.

$$\frac{\sqrt{7}\sqrt{6}}{6}$$

Hei whakarea \sqrt{7} me \sqrt{6}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{\sqrt{42}}{6}$$