Whakaoti i te (frac{2sqrt{5}}{5})^2

$$( \frac { 2 \sqrt { 5 } } { 5 } ) ^ { 2 }$$

Aromātai

$$\frac{4}{5}=0.8$$

Ngā Upane Otinga

Kia whakarewa i te \frac{2\sqrt{5}}{5} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{\left(2\sqrt{5}\right)^{2}}{5^{2}}$$

Whakarohaina te \left(2\sqrt{5}\right)^{2}.

$$\frac{2^{2}\left(\sqrt{5}\right)^{2}}{5^{2}}$$

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

$$\frac{4\left(\sqrt{5}\right)^{2}}{5^{2}}$$

Ko te pūrua o \sqrt{5} ko 5.

$$\frac{4\times 5}{5^{2}}$$

Whakareatia te 4 ki te 5, ka 20.

$$\frac{20}{5^{2}}$$

Tātaihia te 5 mā te pū o 2, kia riro ko 25.

$$\frac{20}{25}$$

Whakahekea te hautanga \frac{20}{25} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{4}{5}$$

Tauwehe

$$\frac{2 ^ {2}}{5} = 0.8$$