Whakaoti i te sqrt{60*10*32-240*65/frac{1{2}*60}}

$$\sqrt { \frac { 60 \times 10 \times 32 - 240 \times 65 } { \frac { 1 } { 2 } \times 60 } }$$

Aromātai

$$2\sqrt{30}\approx 10.95445115$$

Ngā Upane Otinga

Whakareatia te 60 ki te 10, ka 600.

$$\sqrt{\frac{600\times 32-240\times 65}{\frac{1}{2}\times 60}}$$

Whakareatia te 600 ki te 32, ka 19200.

$$\sqrt{\frac{19200-240\times 65}{\frac{1}{2}\times 60}}$$

Whakareatia te 240 ki te 65, ka 15600.

$$\sqrt{\frac{19200-15600}{\frac{1}{2}\times 60}}$$

Tangohia te 15600 i te 19200, ka 3600.

$$\sqrt{\frac{3600}{\frac{1}{2}\times 60}}$$

Whakareatia te \frac{1}{2} ki te 60, ka \frac{60}{2}.

$$\sqrt{\frac{3600}{\frac{60}{2}}}$$

Whakawehea te 60 ki te 2, kia riro ko 30.

$$\sqrt{\frac{3600}{30}}$$

Whakawehea te 3600 ki te 30, kia riro ko 120.

$$\sqrt{120}$$

Tauwehea te 120=2^{2}\times 30. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 30} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{30}. Tuhia te pūtakerua o te 2^{2}.

$$2\sqrt{30}$$