Whakaoti i te sqrt{96}-sqrt{24}-3sqrt{54}=

$$\sqrt { 96 } - \sqrt { 24 } - 3 \sqrt { 54 } =$$

Aromātai

$$-7\sqrt{6}\approx -17.146428199$$

Ngā Upane Otinga

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}.

$$4\sqrt{6}-\sqrt{24}-3\sqrt{54}$$

Tauwehea te 24=2^{2}\times 6. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 6} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{6}. Tuhia te pūtakerua o te 2^{2}.

$$4\sqrt{6}-2\sqrt{6}-3\sqrt{54}$$

Pahekotia te 4\sqrt{6} me -2\sqrt{6}, ka 2\sqrt{6}.

$$2\sqrt{6}-3\sqrt{54}$$

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}.

$$2\sqrt{6}-3\times 3\sqrt{6}$$

Whakareatia te -3 ki te 3, ka -9.

$$2\sqrt{6}-9\sqrt{6}$$

Pahekotia te 2\sqrt{6} me -9\sqrt{6}, ka -7\sqrt{6}.

$$-7\sqrt{6}$$