Whakaoti i te =sqrt{8}-2sin45^circ+(1/2)^-1

$$= \sqrt { 8 } - 2 \sin 45 ^ { \circ } + ( \frac { 1 } { 2 } ) ^ { - 1 }$$

Aromātai

$$\sqrt{2}+2\approx 3.414213562$$

Ngā Upane Otinga

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}.

$$2\sqrt{2}-2\sin(45)+\left(\frac{1}{2}\right)^{-1}$$

Tīkina te uara \sin(45) mai i te ripanga uara pākoki.

$$2\sqrt{2}-2\times \frac{\sqrt{2}}{2}+\left(\frac{1}{2}\right)^{-1}$$

Me whakakore te 2 me te 2.

$$2\sqrt{2}-\sqrt{2}+\left(\frac{1}{2}\right)^{-1}$$

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

$$\sqrt{2}+\left(\frac{1}{2}\right)^{-1}$$

Tātaihia te \frac{1}{2} mā te pū o -1, kia riro ko 2.

$$\sqrt{2}+2$$