Whakaoti i te sqrt{128div27}

$$\sqrt{ 128 \div 27 }$$

Aromātai

$$\frac{8\sqrt{6}}{9}\approx 2.177324216$$

Ngā Upane Otinga

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{128}{27}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{128}}{\sqrt{27}}.

$$\frac{\sqrt{128}}{\sqrt{27}}$$

Tauwehea te 128=8^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{8^{2}\times 2} hei hua o ngā pūtake rua \sqrt{8^{2}}\sqrt{2}. Tuhia te pūtakerua o te 8^{2}.

$$\frac{8\sqrt{2}}{\sqrt{27}}$$

Tauwehea te 27=3^{2}\times 3. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 3} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{3}. Tuhia te pūtakerua o te 3^{2}.

$$\frac{8\sqrt{2}}{3\sqrt{3}}$$

Whakangāwaritia te tauraro o \frac{8\sqrt{2}}{3\sqrt{3}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{3}.

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

Ko te pūrua o \sqrt{3} ko 3.

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

Hei whakarea \sqrt{2} me \sqrt{3}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{8\sqrt{6}}{3\times 3}$$

Whakareatia te 3 ki te 3, ka 9.

$$\frac{8\sqrt{6}}{9}$$