Whakaoti i te sqrt{75}-2sqrt{2}*sqrt{24}

$$\sqrt { 75 } - 2 \sqrt { 2 } \times \sqrt { 24 }$$

Aromātai

$$-3\sqrt{3}\approx -5.196152423$$

Ngā Upane Otinga

Tauwehea te 75=5^{2}\times 3. Tuhia anō te pūtake rua o te hua \sqrt{5^{2}\times 3} hei hua o ngā pūtake rua \sqrt{5^{2}}\sqrt{3}. Tuhia te pūtakerua o te 5^{2}.

$$5\sqrt{3}-2\sqrt{2}\sqrt{24}$$

Tauwehea te 24=2\times 12. Tuhia anō te pūtake rua o te hua \sqrt{2\times 12} hei hua o ngā pūtake rua \sqrt{2}\sqrt{12}.

$$5\sqrt{3}-2\sqrt{2}\sqrt{2}\sqrt{12}$$

Whakareatia te \sqrt{2} ki te \sqrt{2}, ka 2.

$$5\sqrt{3}-2\times 2\sqrt{12}$$

Whakareatia te 2 ki te 2, ka 4.

$$5\sqrt{3}-4\sqrt{12}$$

Tauwehea te 12=2^{2}\times 3. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 3} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{3}. Tuhia te pūtakerua o te 2^{2}.

$$5\sqrt{3}-4\times 2\sqrt{3}$$

Whakareatia te 4 ki te 2, ka 8.

$$5\sqrt{3}-8\sqrt{3}$$

Pahekotia te 5\sqrt{3} me -8\sqrt{3}, ka -3\sqrt{3}.

$$-3\sqrt{3}$$