Datrys frac{sqrt{6}-sqrt{2}}{4}*frac{sqrt{6}-1sqrt{2}}{4}

$$\frac { \sqrt { 6 } - \sqrt { 2 } } { 4 } \times \frac { \sqrt { 6 } - 1 \sqrt { 2 } } { 4 }$$

Enrhifo

$$-\frac{\sqrt{3}}{4}+\frac{1}{2}\approx 0.066987298$$

Camau Ateb

Lluosi \frac{\sqrt{6}-\sqrt{2}}{4} a \frac{\sqrt{6}-\sqrt{2}}{4} i gael \left(\frac{\sqrt{6}-\sqrt{2}}{4}\right)^{2}.

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

I godi \frac{\sqrt{6}-\sqrt{2}}{4} i bŵer, codwch y rhifiadur a'r enwadur i bŵer ac yna rhannwch nhw.

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

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

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

Sgwâr \sqrt{6} yw 6.

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

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

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

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

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

Lluosi -2 a 2 i gael -4.

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

Sgwâr \sqrt{2} yw 2.

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

Adio 6 a 2 i gael 8.

$$\frac{8-4\sqrt{3}}{4^{2}}$$

Cyfrifo 4 i bŵer 2 a chael 16.

$$\frac{8-4\sqrt{3}}{16}$$

Ffactor

$$\frac{2 - \sqrt{3}}{4} = 0.0669872981077807$$