Whakaoti i te sqrt{24}*sqrt{1/6}

$$\sqrt { 24 } \times \sqrt { \frac { 1 } { 6 } }$$

Aromātai

$$2$$

Ngā Upane Otinga

Tauwehea te 24=2^{2}\times 6. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 6} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{6}. Tuhia te pūtakerua o te 2^{2}.

$$2\sqrt{6}\sqrt{\frac{1}{6}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{1}{6}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{1}}{\sqrt{6}}.

$$2\sqrt{6}\times \frac{\sqrt{1}}{\sqrt{6}}$$

Tātaitia te pūtakerua o 1 kia tae ki 1.

$$2\sqrt{6}\times \frac{1}{\sqrt{6}}$$

Whakangāwaritia te tauraro o \frac{1}{\sqrt{6}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{6}.

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

Ko te pūrua o \sqrt{6} ko 6.

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

Whakakorea atu te tauwehe pūnoa nui rawa 6 i roto i te 2 me te 6.

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

Tuhia te \frac{\sqrt{6}}{3}\sqrt{6} hei hautanga kotahi.

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

Whakareatia te \sqrt{6} ki te \sqrt{6}, ka 6.

$$\frac{6}{3}$$

Whakawehea te 6 ki te 3, kia riro ko 2.

$$2$$

Tauwehe

$$2$$