Datrys (2+sqrt{3})^2+(2-sqrt{3})^2+16

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

Enrhifo

$$30$$

Camau Ateb

Defnyddio'r theorem binomaidd \left(a+b\right)^{2}=a^{2}+2ab+b^{2} i ehangu'r \left(2+\sqrt{3}\right)^{2}.

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

Sgwâr \sqrt{3} yw 3.

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

Adio 4 a 3 i gael 7.

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

Defnyddio'r theorem binomaidd \left(a-b\right)^{2}=a^{2}-2ab+b^{2} i ehangu'r \left(2-\sqrt{3}\right)^{2}.

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

Sgwâr \sqrt{3} yw 3.

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

Adio 4 a 3 i gael 7.

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

Adio 7 a 7 i gael 14.

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

Cyfuno 4\sqrt{3} a -4\sqrt{3} i gael 0.

$$14+16$$

Adio 14 a 16 i gael 30.

$$30$$

Ffactor

$$2\times 3\times 5$$