Whakaoti i te 12sqrt{2}=2/sqrt{3}x

$$12 \sqrt { 2 } = \frac { 2 } { \sqrt { 3 } } x$$

Whakaoti mō x

$$x=6\sqrt{6}\approx 14.696938457$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$12\sqrt{2}=\frac{2\sqrt{3}}{\left(\sqrt{3}\right)^{2}}x$$

Ko te pūrua o \sqrt{3} ko 3.

$$12\sqrt{2}=\frac{2\sqrt{3}}{3}x$$

Tuhia te \frac{2\sqrt{3}}{3}x hei hautanga kotahi.

$$12\sqrt{2}=\frac{2\sqrt{3}x}{3}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$\frac{2\sqrt{3}x}{3}=12\sqrt{2}$$

Whakareatia ngā taha e rua o te whārite ki te 3.

$$2\sqrt{3}x=36\sqrt{2}$$

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

$$\frac{2\sqrt{3}x}{2\sqrt{3}}=\frac{36\sqrt{2}}{2\sqrt{3}}$$

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

$$x=\frac{36\sqrt{2}}{2\sqrt{3}}$$

Whakawehe 36\sqrt{2} ki te 2\sqrt{3}.

$$x=6\sqrt{6}$$