Whakaoti i te sqrt{98}+sqrt{50}-sqrt{8}-sqrt{72}=

$$\sqrt{ 98 } + \sqrt{ 50 } - \sqrt{ 8 } - \sqrt{ 72 } =$$

Aromātai

$$4\sqrt{2}\approx 5.656854249$$

Ngā Upane Otinga

Tauwehea te 98=7^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{7^{2}\times 2} hei hua o ngā pūtake rua \sqrt{7^{2}}\sqrt{2}. Tuhia te pūtakerua o te 7^{2}.

$$7\sqrt{2}+\sqrt{50}-\sqrt{8}-\sqrt{72}$$

Tauwehea te 50=5^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{5^{2}\times 2} hei hua o ngā pūtake rua \sqrt{5^{2}}\sqrt{2}. Tuhia te pūtakerua o te 5^{2}.

$$7\sqrt{2}+5\sqrt{2}-\sqrt{8}-\sqrt{72}$$

Pahekotia te 7\sqrt{2} me 5\sqrt{2}, ka 12\sqrt{2}.

$$12\sqrt{2}-\sqrt{8}-\sqrt{72}$$

Tauwehea te 8=2^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 2} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{2}. Tuhia te pūtakerua o te 2^{2}.

$$12\sqrt{2}-2\sqrt{2}-\sqrt{72}$$

Pahekotia te 12\sqrt{2} me -2\sqrt{2}, ka 10\sqrt{2}.

$$10\sqrt{2}-\sqrt{72}$$

Tauwehea te 72=6^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{6^{2}\times 2} hei hua o ngā pūtake rua \sqrt{6^{2}}\sqrt{2}. Tuhia te pūtakerua o te 6^{2}.

$$10\sqrt{2}-6\sqrt{2}$$

Pahekotia te 10\sqrt{2} me -6\sqrt{2}, ka 4\sqrt{2}.

$$4\sqrt{2}$$