Whakaoti i te sqrt{81}+sqrt[3]{-27}+sqrt{(-2/3)^2}-1-21

$$\sqrt { 81 } + \sqrt[ 3 ] { - 27 } + \sqrt { ( - \frac { 2 } { 3 } ) ^ { 2 } } - 1 - 21$$

Aromātai

$$-\frac{46}{3}\approx -15.333333333$$

Ngā Upane Otinga

Tātaitia te pūtakerua o 81 kia tae ki 9.

$$9+\sqrt[3]{-27}+\sqrt{\left(-\frac{2}{3}\right)^{2}}-1-21$$

Tātaitia te \sqrt[3]{-27} kia tae ki -3.

$$9-3+\sqrt{\left(-\frac{2}{3}\right)^{2}}-1-21$$

Tangohia te 3 i te 9, ka 6.

$$6+\sqrt{\left(-\frac{2}{3}\right)^{2}}-1-21$$

Tātaihia te -\frac{2}{3} mā te pū o 2, kia riro ko \frac{4}{9}.

$$6+\sqrt{\frac{4}{9}}-1-21$$

Tuhia anō te pūtake rua o te whakawehenga \frac{4}{9} hei whakawehenga o ngā pūtake rua \frac{\sqrt{4}}{\sqrt{9}}. Tuhia te pūtakerua o te taurunga me te tauraro.

$$6+\frac{2}{3}-1-21$$

Tāpirihia te 6 ki te \frac{2}{3}, ka \frac{20}{3}.

$$\frac{20}{3}-1-21$$

Tangohia te 1 i te \frac{20}{3}, ka \frac{17}{3}.

$$\frac{17}{3}-21$$

Tangohia te 21 i te \frac{17}{3}, ka -\frac{46}{3}.

$$-\frac{46}{3}$$

Tauwehe

$$-\frac{46}{3} = -15\frac{1}{3} = -15.333333333333334$$