Whakaoti i te frac{sqrt{3}+2}{1}=p/q

$$\frac{ \sqrt{ 3 } +2 }{ 1 } = \frac{ p }{ q }$$

Whakaoti mō q

$$q=\left(2-\sqrt{3}\right)p$$

$$p\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe q ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te q.

$$q\left(\sqrt{3}+2\right)=p$$

Whakamahia te āhuatanga tohatoha hei whakarea te q ki te \sqrt{3}+2.

$$q\sqrt{3}+2q=p$$

Pahekotia ngā kīanga tau katoa e whai ana i te q.

$$\left(\sqrt{3}+2\right)q=p$$

Whakawehea ngā taha e rua ki te \sqrt{3}+2.

$$\frac{\left(\sqrt{3}+2\right)q}{\sqrt{3}+2}=\frac{p}{\sqrt{3}+2}$$

Mā te whakawehe ki te \sqrt{3}+2 ka wetekia te whakareanga ki te \sqrt{3}+2.

$$q=\frac{p}{\sqrt{3}+2}$$

Whakawehe p ki te \sqrt{3}+2.

$$q=-\left(\sqrt{3}-2\right)p$$

Tē taea kia ōrite te tāupe q ki 0.

$$q=-\left(\sqrt{3}-2\right)p\text{, }q\neq 0$$

Whakaoti mō p

$$p=\left(\sqrt{3}+2\right)q$$

$$q\neq 0$$