Whakaoti i te xdiv(7/3*21/2-21)=sqrt{(5/3}+4/3-frac{2}{6}

$$x \div ( \frac{ 7 }{ 3 } \times \frac{ 21 }{ 2 } -21)= \sqrt{ ( \frac{ 5 }{ 3 } } + \frac{ 4 }{ 3 } - \frac{ 2 }{ 6 }$$

Whakaoti mō x

$$x = \frac{7 \sqrt{6}}{3} \approx 5.715476066$$

Ngā Upane mō te Whakaoti Whārite Rārangi

He hanga arowhānui tō te whārite.

$$\frac{2}{7}x=\sqrt{\frac{8}{3}}$$

Whakawehea ngā taha e rua o te whārite ki te \frac{2}{7}, he ōrite ki te whakarea i ngā taha e rua ki te tau huripoki o te hautanga.

$$\frac{\frac{2}{7}x}{\frac{2}{7}}=\frac{2\sqrt{6}}{\frac{2}{7}\times 3}$$

Mā te whakawehe ki te \frac{2}{7} ka wetekia te whakareanga ki te \frac{2}{7}.

$$x=\frac{2\sqrt{6}}{\frac{2}{7}\times 3}$$

Whakawehe \frac{2\sqrt{6}}{3} ki te \frac{2}{7} mā te whakarea \frac{2\sqrt{6}}{3} ki te tau huripoki o \frac{2}{7}.

$$x=\frac{7\sqrt{6}}{3}$$