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

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

Aromātai

$$\frac{27\sqrt{2}}{2}\approx 19.091883092$$

Ngā Upane Otinga

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

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

Whakareatia te 3 ki te 27, ka 81.

$$3\sqrt{\frac{81}{2}}$$

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

$$3\times \frac{\sqrt{81}}{\sqrt{2}}$$

Tātaitia te pūtakerua o 81 kia tae ki 9.

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

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

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

Ko te pūrua o \sqrt{2} ko 2.

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

Tuhia te 3\times \frac{9\sqrt{2}}{2} hei hautanga kotahi.

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

Whakareatia te 3 ki te 9, ka 27.

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