Whakaoti i te 3sqrt{2}*sqrt{80}divsqrt{90}

$$3 \sqrt{ 2 } \times \sqrt{ 80 } \div \sqrt{ 90 }$$

Aromātai

$$4$$

Ngā Upane Otinga

Tauwehea te 80=2\times 40. Tuhia anō te pūtake rua o te hua \sqrt{2\times 40} hei hua o ngā pūtake rua \sqrt{2}\sqrt{40}.

$$\frac{3\sqrt{2}\sqrt{2}\sqrt{40}}{\sqrt{90}}$$

Whakareatia te \sqrt{2} ki te \sqrt{2}, ka 2.

$$\frac{3\times 2\sqrt{40}}{\sqrt{90}}$$

Whakareatia te 3 ki te 2, ka 6.

$$\frac{6\sqrt{40}}{\sqrt{90}}$$

Tauwehea te 40=2^{2}\times 10. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 10} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{10}. Tuhia te pūtakerua o te 2^{2}.

$$\frac{6\times 2\sqrt{10}}{\sqrt{90}}$$

Whakareatia te 6 ki te 2, ka 12.

$$\frac{12\sqrt{10}}{\sqrt{90}}$$

Tauwehea te 90=3^{2}\times 10. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 10} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{10}. Tuhia te pūtakerua o te 3^{2}.

$$\frac{12\sqrt{10}}{3\sqrt{10}}$$

Me whakakore tahi te 3\sqrt{10} i te taurunga me te tauraro.

$$4$$

Tauwehe

$$2^{2}$$