Whakaoti i te sqrt{frac{3/2*27}}{27}*6

$$\frac{ \sqrt{ \frac{ 3 }{ 2 } \times 27 } }{ 27 } \times 6$$

Aromātai

$$\sqrt{2}\approx 1.414213562$$

Ngā Upane Otinga

Tuhia te \frac{3}{2}\times 27 hei hautanga kotahi.

$$6\times \frac{\sqrt{\frac{3\times 27}{2}}}{27}$$

Whakareatia te 3 ki te 27, ka 81.

$$6\times \frac{\sqrt{\frac{81}{2}}}{27}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{81}{2}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{81}}{\sqrt{2}}.

$$6\times \frac{\frac{\sqrt{81}}{\sqrt{2}}}{27}$$

Tātaitia te pūtakerua o 81 kia tae ki 9.

$$6\times \frac{\frac{9}{\sqrt{2}}}{27}$$

Whakangāwaritia te tauraro o \frac{9}{\sqrt{2}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{2}.

$$6\times \frac{\frac{9\sqrt{2}}{\left(\sqrt{2}\right)^{2}}}{27}$$

Ko te pūrua o \sqrt{2} ko 2.

$$6\times \frac{\frac{9\sqrt{2}}{2}}{27}$$

Tuhia te \frac{\frac{9\sqrt{2}}{2}}{27} hei hautanga kotahi.

$$6\times \frac{9\sqrt{2}}{2\times 27}$$

Me whakakore tahi te 9 i te taurunga me te tauraro.

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

Whakareatia te 2 ki te 3, ka 6.

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

Me whakakore te 6 me te 6.

$$\sqrt{2}$$