Whakaoti i te (frac{2sqrt{6}}{3})^2

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

Aromātai

$$\frac{8}{3}\approx 2.666666667$$

Ngā Upane Otinga

Kia whakarewa i te \frac{2\sqrt{6}}{3} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

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

Whakarohaina te \left(2\sqrt{6}\right)^{2}.

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

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

$$\frac{4\left(\sqrt{6}\right)^{2}}{3^{2}}$$

Ko te pūrua o \sqrt{6} ko 6.

$$\frac{4\times 6}{3^{2}}$$

Whakareatia te 4 ki te 6, ka 24.

$$\frac{24}{3^{2}}$$

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

$$\frac{24}{9}$$

Whakahekea te hautanga \frac{24}{9} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{8}{3}$$

Tauwehe

$$\frac{2 ^ {3}}{3} = 2\frac{2}{3} = 2.6666666666666665$$