Whakaoti i te sqrt{18}divsqrt{3/4}*sqrt{4/3}

$$\sqrt{ 18 } \div \sqrt{ \frac{ 3 }{ 4 } } \times \sqrt{ \frac{ 4 }{ 3 } }$$

Aromātai

$$4\sqrt{2}\approx 5.656854249$$

Ngā Upane Otinga

Tuhia anō te whakawehe o ngā pūtake rua \frac{\sqrt{18}}{\sqrt{\frac{3}{4}}} hei pūtake rua o te whakawehenga \sqrt{\frac{18}{\frac{3}{4}}} ka mahi i te whakawehenga.

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

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{4}{3}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{4}}{\sqrt{3}}.

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

Tātaitia te pūtakerua o 4 kia tae ki 2.

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

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

$$\sqrt{6}\times \frac{2\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

Ko te pūrua o \sqrt{3} ko 3.

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

Tuhia te \sqrt{6}\times \frac{2\sqrt{3}}{3} hei hautanga kotahi.

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

Tauwehea te 6=3\times 2. Tuhia anō te pūtake rua o te hua \sqrt{3\times 2} hei hua o ngā pūtake rua \sqrt{3}\sqrt{2}.

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

Whakareatia te \sqrt{3} ki te \sqrt{3}, ka 3.

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

Whakareatia te 3 ki te 2, ka 6.

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

Whakawehea te 6\sqrt{2} ki te 3, kia riro ko 2\sqrt{2}.

$$2\sqrt{2}$$