Whakaoti i te =2/sqrt{5}*10/2-1/sqrt{5}*1/2

$$= \frac { 2 } { \sqrt { 5 } } \times \frac { 10 } { 2 } - \frac { 1 } { \sqrt { 5 } } \times \frac { 1 } { 2 }$$

Aromātai

$$\frac{19\sqrt{5}}{10}\approx 4.248529157$$

Ngā Upane Otinga

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

$$\frac{2\sqrt{5}}{\left(\sqrt{5}\right)^{2}}\times \frac{10}{2}-\frac{1}{\sqrt{5}}\times \frac{1}{2}$$

Ko te pūrua o \sqrt{5} ko 5.

$$\frac{2\sqrt{5}}{5}\times \frac{10}{2}-\frac{1}{\sqrt{5}}\times \frac{1}{2}$$

Whakawehea te 10 ki te 2, kia riro ko 5.

$$\frac{2\sqrt{5}}{5}\times 5-\frac{1}{\sqrt{5}}\times \frac{1}{2}$$

Me whakakore te 5 me te 5.

$$2\sqrt{5}-\frac{1}{\sqrt{5}}\times \frac{1}{2}$$

Whakangāwaritia te tauraro o \frac{1}{\sqrt{5}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{5}.

$$2\sqrt{5}-\frac{\sqrt{5}}{\left(\sqrt{5}\right)^{2}}\times \frac{1}{2}$$

Ko te pūrua o \sqrt{5} ko 5.

$$2\sqrt{5}-\frac{\sqrt{5}}{5}\times \frac{1}{2}$$

Me whakarea te \frac{\sqrt{5}}{5} ki te \frac{1}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$2\sqrt{5}-\frac{\sqrt{5}}{5\times 2}$$

Whakareatia te 5 ki te 2, ka 10.

$$2\sqrt{5}-\frac{\sqrt{5}}{10}$$

Pahekotia te 2\sqrt{5} me -\frac{\sqrt{5}}{10}, ka \frac{19}{10}\sqrt{5}.

$$\frac{19}{10}\sqrt{5}$$