Datrys frac{2sqrt{3}-sqrt{2}}{2sqrt{3}+sqrt{3}}

$$\frac{ 2 \sqrt{ 3 } - \sqrt{ 2 } }{ 2 \sqrt{ 3 } + \sqrt{ 3 } }$$

Enrhifo

$$-\frac{\sqrt{6}}{9}+\frac{2}{3}\approx 0.39450114$$

Camau Ateb

Cyfuno 2\sqrt{3} a \sqrt{3} i gael 3\sqrt{3}.

$$\frac{2\sqrt{3}-\sqrt{2}}{3\sqrt{3}}$$

Mae'n rhesymoli enwadur \frac{2\sqrt{3}-\sqrt{2}}{3\sqrt{3}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{3}.

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

Sgwâr \sqrt{3} yw 3.

$$\frac{\left(2\sqrt{3}-\sqrt{2}\right)\sqrt{3}}{3\times 3}$$

Lluosi 3 a 3 i gael 9.

$$\frac{\left(2\sqrt{3}-\sqrt{2}\right)\sqrt{3}}{9}$$

Defnyddio’r briodwedd ddosbarthu i luosi 2\sqrt{3}-\sqrt{2} â \sqrt{3}.

$$\frac{2\left(\sqrt{3}\right)^{2}-\sqrt{2}\sqrt{3}}{9}$$

Sgwâr \sqrt{3} yw 3.

$$\frac{2\times 3-\sqrt{2}\sqrt{3}}{9}$$

Lluosi 2 a 3 i gael 6.

$$\frac{6-\sqrt{2}\sqrt{3}}{9}$$

I luosi \sqrt{2} a \sqrt{3}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{6-\sqrt{6}}{9}$$

Ffactor

$$\frac{\sqrt{6} {(\sqrt{6} - 1)}}{9} = 0.3945011396907579$$