Whakaoti i te sqrt{36/3}+sqrt{2/81}

$$\sqrt { \frac { 36 } { 3 } } + \sqrt { \frac { 2 } { 81 } }$$

Aromātai

$$\frac{\sqrt{2}}{9}+2\sqrt{3}\approx 3.621236455$$

Ngā Hipanga Rongoā Poto

Whakawehea te 36 ki te 3, kia riro ko 12.

$$\sqrt{12}+\sqrt{\frac{2}{81}}$$

Tauwehea te 12=2^{2}\times 3. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 3} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{3}. Tuhia te pūtakerua o te 2^{2}.

$$2\sqrt{3}+\sqrt{\frac{2}{81}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{2}{81}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{2}}{\sqrt{81}}.

$$2\sqrt{3}+\frac{\sqrt{2}}{\sqrt{81}}$$

Tātaitia te pūtakerua o 81 kia tae ki 9.

$$2\sqrt{3}+\frac{\sqrt{2}}{9}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 2\sqrt{3} ki te \frac{9}{9}.

$$\frac{9\times 2\sqrt{3}}{9}+\frac{\sqrt{2}}{9}$$

Tā te mea he rite te tauraro o \frac{9\times 2\sqrt{3}}{9} me \frac{\sqrt{2}}{9}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{9\times 2\sqrt{3}+\sqrt{2}}{9}$$

Mahia ngā whakarea i roto o 9\times 2\sqrt{3}+\sqrt{2}.

$$\frac{18\sqrt{3}+\sqrt{2}}{9}$$