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

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

Aromātai

$$3\sqrt{2}\approx 4.242640687$$

Ngā Upane Otinga

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{2}{3}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{2}}{\sqrt{3}}.

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

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

$$\frac{\sqrt{2}\sqrt{3}}{\left(\sqrt{3}\right)^{2}}\sqrt{27}$$

Ko te pūrua o \sqrt{3} ko 3.

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

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

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

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}.

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

Me whakakore te 3 me te 3.

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

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}.

$$\sqrt{3}\sqrt{2}\sqrt{3}$$

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

$$3\sqrt{2}$$