Whakaoti i te sqrt[3]{-125/64}+sqrt{1-7/16}-sqrt[3]{-343/8}

$$\sqrt[ 3 ] { - \frac { 125 } { 64 } } + \sqrt { 1 - \frac { 7 } { 16 } } - \sqrt[ 3 ] { - \frac { 343 } { 8 } }$$

Aromātai

$$3$$

Ngā Upane Otinga

Tātaitia te \sqrt[3]{-\frac{125}{64}} kia tae ki -\frac{5}{4}.

$$-\frac{5}{4}+\sqrt{1-\frac{7}{16}}-\sqrt[3]{-\frac{343}{8}}$$

Tangohia te \frac{7}{16} i te 1, ka \frac{9}{16}.

$$-\frac{5}{4}+\sqrt{\frac{9}{16}}-\sqrt[3]{-\frac{343}{8}}$$

Tuhia anō te pūtake rua o te whakawehenga \frac{9}{16} hei whakawehenga o ngā pūtake rua \frac{\sqrt{9}}{\sqrt{16}}. Tuhia te pūtakerua o te taurunga me te tauraro.

$$-\frac{5}{4}+\frac{3}{4}-\sqrt[3]{-\frac{343}{8}}$$

Tāpirihia te -\frac{5}{4} ki te \frac{3}{4}, ka -\frac{1}{2}.

$$-\frac{1}{2}-\sqrt[3]{-\frac{343}{8}}$$

Tātaitia te \sqrt[3]{-\frac{343}{8}} kia tae ki -\frac{7}{2}.

$$-\frac{1}{2}-\left(-\frac{7}{2}\right)$$

Ko te tauaro o -\frac{7}{2} ko \frac{7}{2}.

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

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

$$3$$

Tauwehe

$$3$$