Whakaoti i te 4^2/3^2*2sqrt{5}*6=

$$\frac{ { 4 }^{ 2 } }{ { 3 }^{ 2 } \times 2 \sqrt{ 5 } } \times 6=$$

Aromātai

$$\frac{16\sqrt{5}}{15}\approx 2.385139176$$

Ngā Upane Otinga

Tātaihia te 4 mā te pū o 2, kia riro ko 16.

$$6\times \frac{16}{2\times 3^{2}\sqrt{5}}$$

Tātaihia te 3 mā te pū o 2, kia riro ko 9.

$$6\times \frac{16}{2\times 9\sqrt{5}}$$

Whakareatia te 2 ki te 9, ka 18.

$$6\times \frac{16}{18\sqrt{5}}$$

Whakangāwaritia te tauraro o \frac{16}{18\sqrt{5}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{5}.

$$6\times \frac{16\sqrt{5}}{18\left(\sqrt{5}\right)^{2}}$$

Ko te pūrua o \sqrt{5} ko 5.

$$6\times \frac{16\sqrt{5}}{18\times 5}$$

Me whakakore tahi te 2 i te taurunga me te tauraro.

$$6\times \frac{8\sqrt{5}}{5\times 9}$$

Whakareatia te 5 ki te 9, ka 45.

$$6\times \frac{8\sqrt{5}}{45}$$

Tuhia te 6\times \frac{8\sqrt{5}}{45} hei hautanga kotahi.

$$\frac{6\times 8\sqrt{5}}{45}$$

Whakareatia te 6 ki te 8, ka 48.

$$\frac{48\sqrt{5}}{45}$$

Whakawehea te 48\sqrt{5} ki te 45, kia riro ko \frac{16}{15}\sqrt{5}.

$$\frac{16}{15}\sqrt{5}$$