Datrys (2sqrt{2}-sqrt{6})^2

$$( 2 \sqrt { 2 } - \sqrt { 6 } ) ^ { 2 }$$

Enrhifo

$$14-8\sqrt{3}\approx 0.143593539$$

Camau Ateb

Defnyddio'r theorem binomaidd \left(a-b\right)^{2}=a^{2}-2ab+b^{2} i ehangu'r \left(2\sqrt{2}-\sqrt{6}\right)^{2}.

$$4\left(\sqrt{2}\right)^{2}-4\sqrt{2}\sqrt{6}+\left(\sqrt{6}\right)^{2}$$

Sgwâr \sqrt{2} yw 2.

$$4\times 2-4\sqrt{2}\sqrt{6}+\left(\sqrt{6}\right)^{2}$$

Lluosi 4 a 2 i gael 8.

$$8-4\sqrt{2}\sqrt{6}+\left(\sqrt{6}\right)^{2}$$

Ffactora 6=2\times 3. Ailysgrifennu ail isradd y lluoswm \sqrt{2\times 3} fel lluoswm ail israddau \sqrt{2}\sqrt{3}.

$$8-4\sqrt{2}\sqrt{2}\sqrt{3}+\left(\sqrt{6}\right)^{2}$$

Lluosi \sqrt{2} a \sqrt{2} i gael 2.

$$8-4\times 2\sqrt{3}+\left(\sqrt{6}\right)^{2}$$

Lluosi -4 a 2 i gael -8.

$$8-8\sqrt{3}+\left(\sqrt{6}\right)^{2}$$

Sgwâr \sqrt{6} yw 6.

$$8-8\sqrt{3}+6$$

Adio 8 a 6 i gael 14.

$$14-8\sqrt{3}$$

Ehangu

$$14-8\sqrt{3}$$

Camau Ateb

Defnyddio'r theorem binomaidd \left(a-b\right)^{2}=a^{2}-2ab+b^{2} i ehangu'r \left(2\sqrt{2}-\sqrt{6}\right)^{2}.

$$4\left(\sqrt{2}\right)^{2}-4\sqrt{2}\sqrt{6}+\left(\sqrt{6}\right)^{2}$$

Sgwâr \sqrt{2} yw 2.

$$4\times 2-4\sqrt{2}\sqrt{6}+\left(\sqrt{6}\right)^{2}$$

Lluosi 4 a 2 i gael 8.

$$8-4\sqrt{2}\sqrt{6}+\left(\sqrt{6}\right)^{2}$$

Ffactora 6=2\times 3. Ailysgrifennu ail isradd y lluoswm \sqrt{2\times 3} fel lluoswm ail israddau \sqrt{2}\sqrt{3}.

$$8-4\sqrt{2}\sqrt{2}\sqrt{3}+\left(\sqrt{6}\right)^{2}$$

Lluosi \sqrt{2} a \sqrt{2} i gael 2.

$$8-4\times 2\sqrt{3}+\left(\sqrt{6}\right)^{2}$$

Lluosi -4 a 2 i gael -8.

$$8-8\sqrt{3}+\left(\sqrt{6}\right)^{2}$$

Sgwâr \sqrt{6} yw 6.

$$8-8\sqrt{3}+6$$

Adio 8 a 6 i gael 14.

$$14-8\sqrt{3}$$