Whakaoti i te 2{left(-sqrt{2}-1right)}^2-2

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

Aromātai

$$4\left(\sqrt{2}+1\right)\approx 9.656854249$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(-\sqrt{2}-1\right)^{2}.

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

Tātaihia te -\sqrt{2} mā te pū o 2, kia riro ko \left(\sqrt{2}\right)^{2}.

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

Whakareatia te -2 ki te -1, ka 2.

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

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te \left(\sqrt{2}\right)^{2}+2\sqrt{2}+1.

$$2\left(\sqrt{2}\right)^{2}+4\sqrt{2}+2-2$$

Ko te pūrua o \sqrt{2} ko 2.

$$2\times 2+4\sqrt{2}+2-2$$

Whakareatia te 2 ki te 2, ka 4.

$$4+4\sqrt{2}+2-2$$

Tāpirihia te 4 ki te 2, ka 6.

$$6+4\sqrt{2}-2$$

Tangohia te 2 i te 6, ka 4.

$$4+4\sqrt{2}$$

Whakaroha

$$4 \sqrt{2} + 4 = 9.656854249$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(-\sqrt{2}-1\right)^{2}.

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

Tātaihia te -\sqrt{2} mā te pū o 2, kia riro ko \left(\sqrt{2}\right)^{2}.

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

Whakareatia te -2 ki te -1, ka 2.

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

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te \left(\sqrt{2}\right)^{2}+2\sqrt{2}+1.

$$2\left(\sqrt{2}\right)^{2}+4\sqrt{2}+2-2$$

Ko te pūrua o \sqrt{2} ko 2.

$$2\times 2+4\sqrt{2}+2-2$$

Whakareatia te 2 ki te 2, ka 4.

$$4+4\sqrt{2}+2-2$$

Tāpirihia te 4 ki te 2, ka 6.

$$6+4\sqrt{2}-2$$

Tangohia te 2 i te 6, ka 4.

$$4+4\sqrt{2}$$