Whakaoti i te 2*2frac{sqrt{5}}{2sqrt{3}}=

$$2 \times 2 \frac { \sqrt { 5 } } { 2 \sqrt { 3 } } =$$

Aromātai

$$\frac{2\sqrt{15}}{3}\approx 2.581988897$$

Ngā Upane Otinga

Whakareatia te 2 ki te 2, ka 4.

$$4\times \frac{\sqrt{5}}{2\sqrt{3}}$$

Whakangāwaritia te tauraro o \frac{\sqrt{5}}{2\sqrt{3}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{3}.

$$4\times \frac{\sqrt{5}\sqrt{3}}{2\left(\sqrt{3}\right)^{2}}$$

Ko te pūrua o \sqrt{3} ko 3.

$$4\times \frac{\sqrt{5}\sqrt{3}}{2\times 3}$$

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

$$4\times \frac{\sqrt{15}}{2\times 3}$$

Whakareatia te 2 ki te 3, ka 6.

$$4\times \frac{\sqrt{15}}{6}$$

Tuhia te 4\times \frac{\sqrt{15}}{6} hei hautanga kotahi.

$$\frac{4\sqrt{15}}{6}$$

Whakawehea te 4\sqrt{15} ki te 6, kia riro ko \frac{2}{3}\sqrt{15}.

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