Whakaoti i te 3sqrt{50}+2sqrt{8}-7sqrt{98}

$$3 \sqrt{ 50 } +2 \sqrt{ 8 } -7 \sqrt{ 98 }$$

Aromātai

$$-30\sqrt{2}\approx -42.426406871$$

Ngā Upane Otinga

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}.

$$3\times 5\sqrt{2}+2\sqrt{8}-7\sqrt{98}$$

Whakareatia te 3 ki te 5, ka 15.

$$15\sqrt{2}+2\sqrt{8}-7\sqrt{98}$$

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}.

$$15\sqrt{2}+2\times 2\sqrt{2}-7\sqrt{98}$$

Whakareatia te 2 ki te 2, ka 4.

$$15\sqrt{2}+4\sqrt{2}-7\sqrt{98}$$

Pahekotia te 15\sqrt{2} me 4\sqrt{2}, ka 19\sqrt{2}.

$$19\sqrt{2}-7\sqrt{98}$$

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}.

$$19\sqrt{2}-7\times 7\sqrt{2}$$

Whakareatia te -7 ki te 7, ka -49.

$$19\sqrt{2}-49\sqrt{2}$$

Pahekotia te 19\sqrt{2} me -49\sqrt{2}, ka -30\sqrt{2}.

$$-30\sqrt{2}$$