Whakaoti i te frac{sqrt{2}}{sqrt{5}}*frac{(sqrt{5})^2}{sqrt{3}}

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

Aromātai

$$\frac{\sqrt{30}}{3}\approx 1.825741858$$

Ngā Upane Otinga

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

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

Ko te pūrua o \sqrt{5} ko 5.

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

Hei whakarea \sqrt{2} me \sqrt{5}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{\sqrt{10}}{5}\times \frac{\left(\sqrt{5}\right)^{2}}{\sqrt{3}}$$

Ko te pūrua o \sqrt{5} ko 5.

$$\frac{\sqrt{10}}{5}\times \frac{5}{\sqrt{3}}$$

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

$$\frac{\sqrt{10}}{5}\times \frac{5\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

Ko te pūrua o \sqrt{3} ko 3.

$$\frac{\sqrt{10}}{5}\times \frac{5\sqrt{3}}{3}$$

Me whakarea te \frac{\sqrt{10}}{5} ki te \frac{5\sqrt{3}}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\sqrt{10}\times 5\sqrt{3}}{5\times 3}$$

Me whakakore tahi te 5 i te taurunga me te tauraro.

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

Hei whakarea \sqrt{3} me \sqrt{10}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{\sqrt{30}}{3}$$