Whakaoti i te 2x=frac{3sqrt{6}}{sqrt{3}}

$$2 x = \frac { 3 \sqrt { 6 } } { \sqrt { 3 } }$$

Whakaoti mō x

$$x = \frac{3 \sqrt{2}}{2} \approx 2.121320344$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

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

Ko te pūrua o \sqrt{3} ko 3.

$$2x=\frac{3\sqrt{6}\sqrt{3}}{3}$$

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}.

$$2x=\frac{3\sqrt{3}\sqrt{2}\sqrt{3}}{3}$$

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

$$2x=\frac{3\times 3\sqrt{2}}{3}$$

Me whakakore te 3 me te 3.

$$2x=3\sqrt{2}$$

Whakawehea ngā taha e rua ki te 2.

$$\frac{2x}{2}=\frac{3\sqrt{2}}{2}$$

Mā te whakawehe ki te 2 ka wetekia te whakareanga ki te 2.

$$x=\frac{3\sqrt{2}}{2}$$