Whakaoti i te frac{sqrt{3}}{tan60^circ-cos30^circ}-(27)^frac{1{3}}

$$\frac { \sqrt { 3 } } { \tan 60 ^ { \circ } - \cos 30 ^ { \circ } } - ( 27 ) ^ { \frac { 1 } { 3 } }$$

Aromātai

$$-1$$

Ngā Upane Otinga

Tīkina te uara \tan(60) mai i te ripanga uara pākoki.

$$\frac{\sqrt{3}}{\sqrt{3}-\cos(30)}-27^{\frac{1}{3}}$$

Tīkina te uara \cos(30) mai i te ripanga uara pākoki.

$$\frac{\sqrt{3}}{\sqrt{3}-\frac{\sqrt{3}}{2}}-27^{\frac{1}{3}}$$

Pahekotia te \sqrt{3} me -\frac{\sqrt{3}}{2}, ka \frac{1}{2}\sqrt{3}.

$$\frac{\sqrt{3}}{\frac{1}{2}\sqrt{3}}-27^{\frac{1}{3}}$$

Whakangāwaritia te tauraro o \frac{\sqrt{3}}{\frac{1}{2}\sqrt{3}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{3}.

$$\frac{\sqrt{3}\sqrt{3}}{\frac{1}{2}\left(\sqrt{3}\right)^{2}}-27^{\frac{1}{3}}$$

Ko te pūrua o \sqrt{3} ko 3.

$$\frac{\sqrt{3}\sqrt{3}}{\frac{1}{2}\times 3}-27^{\frac{1}{3}}$$

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

$$\frac{3}{\frac{1}{2}\times 3}-27^{\frac{1}{3}}$$

Whakareatia te \frac{1}{2} ki te 3, ka \frac{3}{2}.

$$\frac{3}{\frac{3}{2}}-27^{\frac{1}{3}}$$

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

$$3\times \frac{2}{3}-27^{\frac{1}{3}}$$

Whakareatia te 3 ki te \frac{2}{3}, ka 2.

$$2-27^{\frac{1}{3}}$$

Tātaihia te 27 mā te pū o \frac{1}{3}, kia riro ko 3.

$$2-3$$

Tangohia te 3 i te 2, ka -1.

$$-1$$