Whakaoti i te sqrt{72/2}+sqrt{17/9}

$$\sqrt { \frac { 72 } { 2 } } + \sqrt { 1 \frac { 7 } { 9 } }$$

Aromātai

$$\frac{22}{3}\approx 7.333333333$$

Ngā Upane Otinga

Whakawehea te 72 ki te 2, kia riro ko 36.

$$\sqrt{36}+\sqrt{\frac{1\times 9+7}{9}}$$

Tātaitia te pūtakerua o 36 kia tae ki 6.

$$6+\sqrt{\frac{1\times 9+7}{9}}$$

Whakareatia te 1 ki te 9, ka 9.

$$6+\sqrt{\frac{9+7}{9}}$$

Tāpirihia te 9 ki te 7, ka 16.

$$6+\sqrt{\frac{16}{9}}$$

Tuhia anō te pūtake rua o te whakawehenga \frac{16}{9} hei whakawehenga o ngā pūtake rua \frac{\sqrt{16}}{\sqrt{9}}. Tuhia te pūtakerua o te taurunga me te tauraro.

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

Me tahuri te 6 ki te hautau \frac{18}{3}.

$$\frac{18}{3}+\frac{4}{3}$$

Tā te mea he rite te tauraro o \frac{18}{3} me \frac{4}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{18+4}{3}$$

Tāpirihia te 18 ki te 4, ka 22.

$$\frac{22}{3}$$

Tauwehe

$$\frac{2 \cdot 11}{3} = 7\frac{1}{3} = 7.333333333333333$$