Datrys (1/2sqrt{3}-4sqrt{5})^2=

$$( \frac { 1 } { 2 } \sqrt { 3 } - 4 \sqrt { 5 } ) ^ { 2 } =$$

Enrhifo

$$\frac{323}{4}-4\sqrt{15}\approx 65.258066615$$

Camau Ateb

Defnyddio'r theorem binomaidd \left(a-b\right)^{2}=a^{2}-2ab+b^{2} i ehangu'r \left(\frac{1}{2}\sqrt{3}-4\sqrt{5}\right)^{2}.

$$\frac{1}{4}\left(\sqrt{3}\right)^{2}-4\sqrt{3}\sqrt{5}+16\left(\sqrt{5}\right)^{2}$$

Sgwâr \sqrt{3} yw 3.

$$\frac{1}{4}\times 3-4\sqrt{3}\sqrt{5}+16\left(\sqrt{5}\right)^{2}$$

Lluosi \frac{1}{4} a 3 i gael \frac{3}{4}.

$$\frac{3}{4}-4\sqrt{3}\sqrt{5}+16\left(\sqrt{5}\right)^{2}$$

I luosi \sqrt{3} a \sqrt{5}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{3}{4}-4\sqrt{15}+16\left(\sqrt{5}\right)^{2}$$

Sgwâr \sqrt{5} yw 5.

$$\frac{3}{4}-4\sqrt{15}+16\times 5$$

Lluosi 16 a 5 i gael 80.

$$\frac{3}{4}-4\sqrt{15}+80$$

Adio \frac{3}{4} a 80 i gael \frac{323}{4}.

$$\frac{323}{4}-4\sqrt{15}$$

Ehangu

$$\frac{323}{4} - 4 \sqrt{15} = 65.258066615$$

Camau Ateb

Defnyddio'r theorem binomaidd \left(a-b\right)^{2}=a^{2}-2ab+b^{2} i ehangu'r \left(\frac{1}{2}\sqrt{3}-4\sqrt{5}\right)^{2}.

$$\frac{1}{4}\left(\sqrt{3}\right)^{2}-4\sqrt{3}\sqrt{5}+16\left(\sqrt{5}\right)^{2}$$

Sgwâr \sqrt{3} yw 3.

$$\frac{1}{4}\times 3-4\sqrt{3}\sqrt{5}+16\left(\sqrt{5}\right)^{2}$$

Lluosi \frac{1}{4} a 3 i gael \frac{3}{4}.

$$\frac{3}{4}-4\sqrt{3}\sqrt{5}+16\left(\sqrt{5}\right)^{2}$$

I luosi \sqrt{3} a \sqrt{5}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{3}{4}-4\sqrt{15}+16\left(\sqrt{5}\right)^{2}$$

Sgwâr \sqrt{5} yw 5.

$$\frac{3}{4}-4\sqrt{15}+16\times 5$$

Lluosi 16 a 5 i gael 80.

$$\frac{3}{4}-4\sqrt{15}+80$$

Adio \frac{3}{4} a 80 i gael \frac{323}{4}.

$$\frac{323}{4}-4\sqrt{15}$$