Whakaoti i te {l}{(sqrt{2}-1)^2+(2sqrt{2}-1)^2}{+2sqrt{2}}

$$\left. \begin{array} { l } { ( \sqrt { 2 } - 1 ) ^ { 2 } + ( 2 \sqrt { 2 } - 1 ) ^ { 2 } } \\ { + 2 \sqrt { 2 } } \end{array} \right.$$

Aromātai

$$12-4\sqrt{2}\approx 6.343145751$$

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}.

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

Ko te pūrua o \sqrt{2} ko 2.

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

Tāpirihia te 2 ki te 1, ka 3.

$$3-2\sqrt{2}+\left(2\sqrt{2}-1\right)^{2}+2\sqrt{2}$$

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

$$3-2\sqrt{2}+4\left(\sqrt{2}\right)^{2}-4\sqrt{2}+1+2\sqrt{2}$$

Ko te pūrua o \sqrt{2} ko 2.

$$3-2\sqrt{2}+4\times 2-4\sqrt{2}+1+2\sqrt{2}$$

Whakareatia te 4 ki te 2, ka 8.

$$3-2\sqrt{2}+8-4\sqrt{2}+1+2\sqrt{2}$$

Tāpirihia te 8 ki te 1, ka 9.

$$3-2\sqrt{2}+9-4\sqrt{2}+2\sqrt{2}$$

Tāpirihia te 3 ki te 9, ka 12.

$$12-2\sqrt{2}-4\sqrt{2}+2\sqrt{2}$$

Pahekotia te -2\sqrt{2} me -4\sqrt{2}, ka -6\sqrt{2}.

$$12-6\sqrt{2}+2\sqrt{2}$$

Pahekotia te -6\sqrt{2} me 2\sqrt{2}, ka -4\sqrt{2}.

$$12-4\sqrt{2}$$