Datrys frac{sqrt{6}+3sqrt{3}}{sqrt{3}}

$$\frac{ \sqrt{ 6 } +3 \sqrt{ 3 } }{ \sqrt{ 3 } }$$

Enrhifo

$$\sqrt{2}+3\approx 4.414213562$$

Camau Ateb

Mae'n rhesymoli enwadur \frac{\sqrt{6}+3\sqrt{3}}{\sqrt{3}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{3}.

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

Sgwâr \sqrt{3} yw 3.

$$\frac{\left(\sqrt{6}+3\sqrt{3}\right)\sqrt{3}}{3}$$

Defnyddio’r briodwedd ddosbarthu i luosi \sqrt{6}+3\sqrt{3} â \sqrt{3}.

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

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

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

Lluosi \sqrt{3} a \sqrt{3} i gael 3.

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

Sgwâr \sqrt{3} yw 3.

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

Lluosi 3 a 3 i gael 9.

$$\frac{3\sqrt{2}+9}{3}$$

Rhannu pob term 3\sqrt{2}+9 â 3 i gael \sqrt{2}+3.

$$\sqrt{2}+3$$