Whakaoti i te 3sqrt{27}divsqrt{6}

$$3 \sqrt{ 27 } \div \sqrt{ 6 }$$

Aromātai

$$\frac{9\sqrt{2}}{2}\approx 6.363961031$$

Ngā Upane Otinga

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}.

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

Whakareatia te 3 ki te 3, ka 9.

$$\frac{9\sqrt{3}}{\sqrt{6}}$$

Whakangāwaritia te tauraro o \frac{9\sqrt{3}}{\sqrt{6}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{6}.

$$\frac{9\sqrt{3}\sqrt{6}}{\left(\sqrt{6}\right)^{2}}$$

Ko te pūrua o \sqrt{6} ko 6.

$$\frac{9\sqrt{3}\sqrt{6}}{6}$$

Tauwehea te 6=3\times 2. Tuhia anō te pūtake rua o te hua \sqrt{3\times 2} hei hua o ngā pūtake rua \sqrt{3}\sqrt{2}.

$$\frac{9\sqrt{3}\sqrt{3}\sqrt{2}}{6}$$

Whakareatia te \sqrt{3} ki te \sqrt{3}, ka 3.

$$\frac{9\times 3\sqrt{2}}{6}$$

Whakareatia te 9 ki te 3, ka 27.

$$\frac{27\sqrt{2}}{6}$$

Whakawehea te 27\sqrt{2} ki te 6, kia riro ko \frac{9}{2}\sqrt{2}.

$$\frac{9}{2}\sqrt{2}$$