Whakaoti i te sqrt[3]{0125}-sqrt{31/16}+sqrt[3]{(1-7/8)^2}-|-1/2|

$$\sqrt[ 3 ] { 0125 } - \sqrt { 3 \frac { 1 } { 16 } } + \sqrt[ 3 ] { ( 1 - \frac { 7 } { 8 } ) ^ { 2 } } - | - \frac { 1 } { 2 } |$$

Aromātai

$$-2$$

Ngā Upane Otinga

Whakareatia te 0 ki te 125, ka 0.

$$\sqrt[3]{0}-\sqrt{\frac{3\times 16+1}{16}}+\sqrt[3]{\left(1-\frac{7}{8}\right)^{2}}-|-\frac{1}{2}|$$

Tātaitia te \sqrt[3]{0} kia tae ki 0.

$$0-\sqrt{\frac{3\times 16+1}{16}}+\sqrt[3]{\left(1-\frac{7}{8}\right)^{2}}-|-\frac{1}{2}|$$

Whakareatia te 3 ki te 16, ka 48.

$$0-\sqrt{\frac{48+1}{16}}+\sqrt[3]{\left(1-\frac{7}{8}\right)^{2}}-|-\frac{1}{2}|$$

Tāpirihia te 48 ki te 1, ka 49.

$$0-\sqrt{\frac{49}{16}}+\sqrt[3]{\left(1-\frac{7}{8}\right)^{2}}-|-\frac{1}{2}|$$

Tuhia anō te pūtake rua o te whakawehenga \frac{49}{16} hei whakawehenga o ngā pūtake rua \frac{\sqrt{49}}{\sqrt{16}}. Tuhia te pūtakerua o te taurunga me te tauraro.

$$0-\frac{7}{4}+\sqrt[3]{\left(1-\frac{7}{8}\right)^{2}}-|-\frac{1}{2}|$$

Tangohia te \frac{7}{4} i te 0, ka -\frac{7}{4}.

$$-\frac{7}{4}+\sqrt[3]{\left(1-\frac{7}{8}\right)^{2}}-|-\frac{1}{2}|$$

Tangohia te \frac{7}{8} i te 1, ka \frac{1}{8}.

$$-\frac{7}{4}+\sqrt[3]{\left(\frac{1}{8}\right)^{2}}-|-\frac{1}{2}|$$

Tātaihia te \frac{1}{8} mā te pū o 2, kia riro ko \frac{1}{64}.

$$-\frac{7}{4}+\sqrt[3]{\frac{1}{64}}-|-\frac{1}{2}|$$

Tātaitia te \sqrt[3]{\frac{1}{64}} kia tae ki \frac{1}{4}.

$$-\frac{7}{4}+\frac{1}{4}-|-\frac{1}{2}|$$

Tāpirihia te -\frac{7}{4} ki te \frac{1}{4}, ka -\frac{3}{2}.

$$-\frac{3}{2}-|-\frac{1}{2}|$$

Ko te uara pū o tētahi tau tūturu a ko a ina a\geq 0, ko -a rānei ina a<0. Ko te uara pū o -\frac{1}{2} ko \frac{1}{2}.

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

Tangohia te \frac{1}{2} i te -\frac{3}{2}, ka -2.

$$-2$$

Tauwehe

$$-2$$