Whakaoti i te sqrt{150}-sqrt{75}*2sqrt{50}

$$\sqrt { 150 } - \sqrt { 75 } \times 2 \sqrt { 50 }$$

Aromātai

$$-45\sqrt{6}\approx -110.227038425$$

Ngā Upane Otinga

Tauwehea te 150=5^{2}\times 6. Tuhia anō te pūtake rua o te hua \sqrt{5^{2}\times 6} hei hua o ngā pūtake rua \sqrt{5^{2}}\sqrt{6}. Tuhia te pūtakerua o te 5^{2}.

$$5\sqrt{6}-2\sqrt{75}\sqrt{50}$$

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}.

$$5\sqrt{6}-2\times 5\sqrt{3}\sqrt{50}$$

Whakareatia te 2 ki te 5, ka 10.

$$5\sqrt{6}-10\sqrt{3}\sqrt{50}$$

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}.

$$5\sqrt{6}-10\sqrt{3}\times 5\sqrt{2}$$

Whakareatia te 10 ki te 5, ka 50.

$$5\sqrt{6}-50\sqrt{3}\sqrt{2}$$

Hei whakarea \sqrt{3} me \sqrt{2}, whakareatia ngā tau i raro i te pūtake rua.

$$5\sqrt{6}-50\sqrt{6}$$

Pahekotia te 5\sqrt{6} me -50\sqrt{6}, ka -45\sqrt{6}.

$$-45\sqrt{6}$$