Whakaoti i te 1/2sqrt{18}-6sqrt{32}

$$\frac { 1 } { 2 } \sqrt { 18 } - 6 \sqrt { 32 }$$

Aromātai

$$-\frac{45\sqrt{2}}{2}\approx -31.819805153$$

Ngā Upane Otinga

Tauwehea te 18=3^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 2} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{2}. Tuhia te pūtakerua o te 3^{2}.

$$\frac{1}{2}\times 3\sqrt{2}-6\sqrt{32}$$

Whakareatia te \frac{1}{2} ki te 3, ka \frac{3}{2}.

$$\frac{3}{2}\sqrt{2}-6\sqrt{32}$$

Tauwehea te 32=4^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{4^{2}\times 2} hei hua o ngā pūtake rua \sqrt{4^{2}}\sqrt{2}. Tuhia te pūtakerua o te 4^{2}.

$$\frac{3}{2}\sqrt{2}-6\times 4\sqrt{2}$$

Whakareatia te -6 ki te 4, ka -24.

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

Pahekotia te \frac{3}{2}\sqrt{2} me -24\sqrt{2}, ka -\frac{45}{2}\sqrt{2}.

$$-\frac{45}{2}\sqrt{2}$$