Whakaoti i te 36/5:(-5/6)^-1+sqrt{27/16-1/8}-frac{13}{4}=

$$\frac { 36 } { 5 } : ( - \frac { 5 } { 6 } ) ^ { - 1 } + \sqrt { \frac { 27 } { 16 } - \frac { 1 } { 8 } } - \frac { 13 } { 4 } =$$

Aromātai

$$-8$$

Ngā Upane Otinga

Tātaihia te -\frac{5}{6} mā te pū o -1, kia riro ko -\frac{6}{5}.

$$\frac{\frac{36}{5}}{-\frac{6}{5}}+\sqrt{\frac{27}{16}-\frac{1}{8}}-\frac{13}{4}$$

Whakawehe \frac{36}{5} ki te -\frac{6}{5} mā te whakarea \frac{36}{5} ki te tau huripoki o -\frac{6}{5}.

$$\frac{36}{5}\left(-\frac{5}{6}\right)+\sqrt{\frac{27}{16}-\frac{1}{8}}-\frac{13}{4}$$

Whakareatia te \frac{36}{5} ki te -\frac{5}{6}, ka -6.

$$-6+\sqrt{\frac{27}{16}-\frac{1}{8}}-\frac{13}{4}$$

Tangohia te \frac{1}{8} i te \frac{27}{16}, ka \frac{25}{16}.

$$-6+\sqrt{\frac{25}{16}}-\frac{13}{4}$$

Tuhia anō te pūtake rua o te whakawehenga \frac{25}{16} hei whakawehenga o ngā pūtake rua \frac{\sqrt{25}}{\sqrt{16}}. Tuhia te pūtakerua o te taurunga me te tauraro.

$$-6+\frac{5}{4}-\frac{13}{4}$$

Tāpirihia te -6 ki te \frac{5}{4}, ka -\frac{19}{4}.

$$-\frac{19}{4}-\frac{13}{4}$$

Tangohia te \frac{13}{4} i te -\frac{19}{4}, ka -8.

$$-8$$

Tauwehe

$$-8$$