Whakaoti i te (2+sqrt{3})^2+(2-sqrt{3})^2+16

$$( 2 + \sqrt { 3 } ) ^ { 2 } + ( 2 - \sqrt { 3 } ) ^ { 2 } + 16$$

Aromātai

$$30$$

Ngā Upane Otinga

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

$$4+4\sqrt{3}+\left(\sqrt{3}\right)^{2}+\left(2-\sqrt{3}\right)^{2}+16$$

Ko te pūrua o \sqrt{3} ko 3.

$$4+4\sqrt{3}+3+\left(2-\sqrt{3}\right)^{2}+16$$

Tāpirihia te 4 ki te 3, ka 7.

$$7+4\sqrt{3}+\left(2-\sqrt{3}\right)^{2}+16$$

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

$$7+4\sqrt{3}+4-4\sqrt{3}+\left(\sqrt{3}\right)^{2}+16$$

Ko te pūrua o \sqrt{3} ko 3.

$$7+4\sqrt{3}+4-4\sqrt{3}+3+16$$

Tāpirihia te 4 ki te 3, ka 7.

$$7+4\sqrt{3}+7-4\sqrt{3}+16$$

Tāpirihia te 7 ki te 7, ka 14.

$$14+4\sqrt{3}-4\sqrt{3}+16$$

Pahekotia te 4\sqrt{3} me -4\sqrt{3}, ka 0.

$$14+16$$

Tāpirihia te 14 ki te 16, ka 30.

$$30$$

Tauwehe

$$2\times 3\times 5$$