Whakaoti i te 2sqrt{54}+3sqrt{96}-4sqrt{216}=

$$2 \sqrt { 54 } + 3 \sqrt { 96 } - 4 \sqrt { 216 } =$$

Aromātai

$$-6\sqrt{6}\approx -14.696938457$$

Ngā Upane Otinga

Tauwehea te 54=3^{2}\times 6. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 6} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{6}. Tuhia te pūtakerua o te 3^{2}.

$$2\times 3\sqrt{6}+3\sqrt{96}-4\sqrt{216}$$

Whakareatia te 2 ki te 3, ka 6.

$$6\sqrt{6}+3\sqrt{96}-4\sqrt{216}$$

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}.

$$6\sqrt{6}+3\times 4\sqrt{6}-4\sqrt{216}$$

Whakareatia te 3 ki te 4, ka 12.

$$6\sqrt{6}+12\sqrt{6}-4\sqrt{216}$$

Pahekotia te 6\sqrt{6} me 12\sqrt{6}, ka 18\sqrt{6}.

$$18\sqrt{6}-4\sqrt{216}$$

Tauwehea te 216=6^{2}\times 6. Tuhia anō te pūtake rua o te hua \sqrt{6^{2}\times 6} hei hua o ngā pūtake rua \sqrt{6^{2}}\sqrt{6}. Tuhia te pūtakerua o te 6^{2}.

$$18\sqrt{6}-4\times 6\sqrt{6}$$

Whakareatia te -4 ki te 6, ka -24.

$$18\sqrt{6}-24\sqrt{6}$$

Pahekotia te 18\sqrt{6} me -24\sqrt{6}, ka -6\sqrt{6}.

$$-6\sqrt{6}$$