Whakaoti i te frac{sqrt{54}*sqrt{6}}{sqrt{3}}

$$\frac { \sqrt { 54 } \times \sqrt { 6 } } { \sqrt { 3 } }$$

Aromātai

$$6\sqrt{3}\approx 10.392304845$$

Ngā Upane Otinga

Tauwehea te 54=6\times 9. Tuhia anō te pūtake rua o te hua \sqrt{6\times 9} hei hua o ngā pūtake rua \sqrt{6}\sqrt{9}.

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

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

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

Tātaitia te pūtakerua o 9 kia tae ki 3.

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

Whakareatia te 6 ki te 3, ka 18.

$$\frac{18}{\sqrt{3}}$$

Whakangāwaritia te tauraro o \frac{18}{\sqrt{3}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{3}.

$$\frac{18\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

Ko te pūrua o \sqrt{3} ko 3.

$$\frac{18\sqrt{3}}{3}$$

Whakawehea te 18\sqrt{3} ki te 3, kia riro ko 6\sqrt{3}.

$$6\sqrt{3}$$