Whakaoti i te (1-sqrt{3})^2+2(3+sqrt{3})

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

Aromātai

$$10$$

Ngā Upane Otinga

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(1-\sqrt{3}\right)^{2}.

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

Ko te pūrua o \sqrt{3} ko 3.

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

Tāpirihia te 1 ki te 3, ka 4.

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

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te 3+\sqrt{3}.

$$4-2\sqrt{3}+6+2\sqrt{3}$$

Tāpirihia te 4 ki te 6, ka 10.

$$10-2\sqrt{3}+2\sqrt{3}$$

Pahekotia te -2\sqrt{3} me 2\sqrt{3}, ka 0.

$$10$$

Tauwehe

$$2\times 5$$