Datrys frac{6sqrt{24}+sqrt{54}}{sqrt{50}}

$$\frac { 6 \sqrt { 24 } + \sqrt { 54 } } { \sqrt { 50 } }$$

Enrhifo

$$3\sqrt{3}\approx 5.196152423$$

Camau Ateb

Ffactora 24=2^{2}\times 6. Ailysgrifennu ail isradd y lluoswm \sqrt{2^{2}\times 6} fel lluoswm ail israddau \sqrt{2^{2}}\sqrt{6}. Cymryd isradd 2^{2}.

$$\frac{6\times 2\sqrt{6}+\sqrt{54}}{\sqrt{50}}$$

Lluosi 6 a 2 i gael 12.

$$\frac{12\sqrt{6}+\sqrt{54}}{\sqrt{50}}$$

Ffactora 54=3^{2}\times 6. Ailysgrifennu ail isradd y lluoswm \sqrt{3^{2}\times 6} fel lluoswm ail israddau \sqrt{3^{2}}\sqrt{6}. Cymryd isradd 3^{2}.

$$\frac{12\sqrt{6}+3\sqrt{6}}{\sqrt{50}}$$

Cyfuno 12\sqrt{6} a 3\sqrt{6} i gael 15\sqrt{6}.

$$\frac{15\sqrt{6}}{\sqrt{50}}$$

Ffactora 50=5^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{5^{2}\times 2} fel lluoswm ail israddau \sqrt{5^{2}}\sqrt{2}. Cymryd isradd 5^{2}.

$$\frac{15\sqrt{6}}{5\sqrt{2}}$$

Canslo 5 yn y rhifiadur a'r enwadur.

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

Mae'n rhesymoli enwadur \frac{3\sqrt{6}}{\sqrt{2}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{2}.

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

Sgwâr \sqrt{2} yw 2.

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

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

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

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

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

Canslo 2 a 2.

$$3\sqrt{3}$$