Whakaoti i te frac{5sqrt{2}}{sqrt{6}}

$$\frac { 5 \sqrt { 2 } } { \sqrt { 6 } }$$

Aromātai

$$\frac{5\sqrt{3}}{3}\approx 2.886751346$$

Ngā Upane Otinga

Whakangāwaritia te tauraro o \frac{5\sqrt{2}}{\sqrt{6}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{6}.

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

Ko te pūrua o \sqrt{6} ko 6.

$$\frac{5\sqrt{2}\sqrt{6}}{6}$$

Tauwehea te 6=2\times 3. Tuhia anō te pūtake rua o te hua \sqrt{2\times 3} hei hua o ngā pūtake rua \sqrt{2}\sqrt{3}.

$$\frac{5\sqrt{2}\sqrt{2}\sqrt{3}}{6}$$

Whakareatia te \sqrt{2} ki te \sqrt{2}, ka 2.

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

Whakareatia te 5 ki te 2, ka 10.

$$\frac{10\sqrt{3}}{6}$$

Whakawehea te 10\sqrt{3} ki te 6, kia riro ko \frac{5}{3}\sqrt{3}.

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