Whakaoti i te frac{sqrt{6}+3sqrt{3}}{sqrt{3}}

$$\frac{ \sqrt{ 6 } +3 \sqrt{ 3 } }{ \sqrt{ 3 } }$$

Aromātai

$$\sqrt{2}+3\approx 4.414213562$$

Ngā Upane Otinga

Whakangāwaritia te tauraro o \frac{\sqrt{6}+3\sqrt{3}}{\sqrt{3}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{3}.

$$\frac{\left(\sqrt{6}+3\sqrt{3}\right)\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

Ko te pūrua o \sqrt{3} ko 3.

$$\frac{\left(\sqrt{6}+3\sqrt{3}\right)\sqrt{3}}{3}$$

Whakamahia te āhuatanga tohatoha hei whakarea te \sqrt{6}+3\sqrt{3} ki te \sqrt{3}.

$$\frac{\sqrt{6}\sqrt{3}+3\left(\sqrt{3}\right)^{2}}{3}$$

Tauwehea te 6=3\times 2. Tuhia anō te pūtake rua o te hua \sqrt{3\times 2} hei hua o ngā pūtake rua \sqrt{3}\sqrt{2}.

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

Whakareatia te \sqrt{3} ki te \sqrt{3}, ka 3.

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

Ko te pūrua o \sqrt{3} ko 3.

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

Whakareatia te 3 ki te 3, ka 9.

$$\frac{3\sqrt{2}+9}{3}$$

Whakawehea ia wā o 3\sqrt{2}+9 ki te 3, kia riro ko \sqrt{2}+3.

$$\sqrt{2}+3$$