Whakaoti i te -4/3sqrt{18}div2sqrt{8}*3

$$- \frac { 4 } { 3 } \sqrt { 18 } \div 2 \sqrt { 8 } \times 3$$

Aromātai

$$-24$$

Ngā Upane Otinga

Tauwehea te 18=3^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 2} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{2}. Tuhia te pūtakerua o te 3^{2}.

$$3\times \frac{-\frac{4}{3}\times 3\sqrt{2}}{2}\sqrt{8}$$

Me whakakore te 3 me te 3.

$$3\times \frac{-4\sqrt{2}}{2}\sqrt{8}$$

Whakawehea te -4\sqrt{2} ki te 2, kia riro ko -2\sqrt{2}.

$$3\left(-2\right)\sqrt{2}\sqrt{8}$$

Whakareatia te 3 ki te -2, ka -6.

$$-6\sqrt{2}\sqrt{8}$$

Tauwehea te 8=2^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 2} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{2}. Tuhia te pūtakerua o te 2^{2}.

$$-6\sqrt{2}\times 2\sqrt{2}$$

Whakareatia te -6 ki te 2, ka -12.

$$-12\sqrt{2}\sqrt{2}$$

Whakareatia te \sqrt{2} ki te \sqrt{2}, ka 2.

$$-12\times 2$$

Whakareatia te -12 ki te 2, ka -24.

$$-24$$

Tauwehe

$$-24$$