Whakaoti i te sqrt{27}*4sqrt{96}=

$$\sqrt { 27 } \times 4 \sqrt { 96 } =$$

Aromātai

$$144\sqrt{2}\approx 203.646752982$$

Ngā Upane Otinga

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}.

$$4\times 3\sqrt{3}\sqrt{96}$$

Whakareatia te 4 ki te 3, ka 12.

$$12\sqrt{3}\sqrt{96}$$

Tauwehea te 96=4^{2}\times 6. Tuhia anō te pūtake rua o te hua \sqrt{4^{2}\times 6} hei hua o ngā pūtake rua \sqrt{4^{2}}\sqrt{6}. Tuhia te pūtakerua o te 4^{2}.

$$12\sqrt{3}\times 4\sqrt{6}$$

Whakareatia te 12 ki te 4, ka 48.

$$48\sqrt{3}\sqrt{6}$$

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}.

$$48\sqrt{3}\sqrt{3}\sqrt{2}$$

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

$$48\times 3\sqrt{2}$$

Whakareatia te 48 ki te 3, ka 144.

$$144\sqrt{2}$$