Whakaoti i te frac{sqrt{3}}{sqrt{5}+2}

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

Aromātai

$$\sqrt{3}\left(\sqrt{5}-2\right)\approx 0.408881731$$

Ngā Upane Otinga

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

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

Whakaarohia te \left(\sqrt{5}+2\right)\left(\sqrt{5}-2\right). Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

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

Pūrua \sqrt{5}. Pūrua 2.

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

Tangohia te 4 i te 5, ka 1.

$$\frac{\sqrt{3}\left(\sqrt{5}-2\right)}{1}$$

Ka whakawehea he tau ki te tahi, hua ai ko ia anō.

$$\sqrt{3}\left(\sqrt{5}-2\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te \sqrt{3} ki te \sqrt{5}-2.

$$\sqrt{3}\sqrt{5}-2\sqrt{3}$$

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

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