Whakaoti i te (-sqrt{5/3})^2=

$$( - \sqrt { \frac { 5 } { 3 } } ) ^ { 2 } =$$

Aromātai

$$\frac{5}{3}\approx 1.666666667$$

Ngā Upane Otinga

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{5}{3}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{5}}{\sqrt{3}}.

$$\left(-\frac{\sqrt{5}}{\sqrt{3}}\right)^{2}$$

Whakangāwaritia te tauraro o \frac{\sqrt{5}}{\sqrt{3}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{3}.

$$\left(-\frac{\sqrt{5}\sqrt{3}}{\left(\sqrt{3}\right)^{2}}\right)^{2}$$

Ko te pūrua o \sqrt{3} ko 3.

$$\left(-\frac{\sqrt{5}\sqrt{3}}{3}\right)^{2}$$

Hei whakarea \sqrt{5} me \sqrt{3}, whakareatia ngā tau i raro i te pūtake rua.

$$\left(-\frac{\sqrt{15}}{3}\right)^{2}$$

Tātaihia te -\frac{\sqrt{15}}{3} mā te pū o 2, kia riro ko \left(\frac{\sqrt{15}}{3}\right)^{2}.

$$\left(\frac{\sqrt{15}}{3}\right)^{2}$$

Kia whakarewa i te \frac{\sqrt{15}}{3} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{\left(\sqrt{15}\right)^{2}}{3^{2}}$$

Ko te pūrua o \sqrt{15} ko 15.

$$\frac{15}{3^{2}}$$

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

$$\frac{15}{9}$$

Whakahekea te hautanga \frac{15}{9} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{5}{3}$$

Tauwehe

$$\frac{5}{3} = 1\frac{2}{3} = 1.6666666666666667$$