Whakaoti i te =sqrt{2/5}+3sqrt{5}-4sqrt{5}

$$= \sqrt { \frac { 2 } { 5 } } + 3 \sqrt { 5 } - 4 \sqrt { 5 }$$

Aromātai

$$\frac{\sqrt{10}}{5}-\sqrt{5}\approx -1.603612445$$

Ngā Hipanga Rongoā Poto

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{2}{5}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{2}}{\sqrt{5}}.

$$\frac{\sqrt{2}}{\sqrt{5}}+3\sqrt{5}-4\sqrt{5}$$

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

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

Ko te pūrua o \sqrt{5} ko 5.

$$\frac{\sqrt{2}\sqrt{5}}{5}+3\sqrt{5}-4\sqrt{5}$$

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

$$\frac{\sqrt{10}}{5}+3\sqrt{5}-4\sqrt{5}$$

Pahekotia te 3\sqrt{5} me -4\sqrt{5}, ka -\sqrt{5}.

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

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia \sqrt{5} ki te \frac{5}{5}.

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

Tā te mea he rite te tauraro o \frac{\sqrt{10}}{5} me \frac{5\sqrt{5}}{5}, me tango rāua mā te tango i ō raua taurunga.

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