Datrys frac{sqrt{18}}{5sqrt{18}+3sqrt{72}-2sqrt{162}}

$$\frac { \sqrt { 18 } } { 5 \sqrt { 18 } + 3 \sqrt { 72 } - 2 \sqrt { 162 } }$$

Enrhifo

$$\frac{1}{5}=0.2$$

Camau Ateb

Ffactora 18=3^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{3^{2}\times 2} fel lluoswm ail israddau \sqrt{3^{2}}\sqrt{2}. Cymryd isradd 3^{2}.

$$\frac{3\sqrt{2}}{5\sqrt{18}+3\sqrt{72}-2\sqrt{162}}$$

Ffactora 18=3^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{3^{2}\times 2} fel lluoswm ail israddau \sqrt{3^{2}}\sqrt{2}. Cymryd isradd 3^{2}.

$$\frac{3\sqrt{2}}{5\times 3\sqrt{2}+3\sqrt{72}-2\sqrt{162}}$$

Lluosi 5 a 3 i gael 15.

$$\frac{3\sqrt{2}}{15\sqrt{2}+3\sqrt{72}-2\sqrt{162}}$$

Ffactora 72=6^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{6^{2}\times 2} fel lluoswm ail israddau \sqrt{6^{2}}\sqrt{2}. Cymryd isradd 6^{2}.

$$\frac{3\sqrt{2}}{15\sqrt{2}+3\times 6\sqrt{2}-2\sqrt{162}}$$

Lluosi 3 a 6 i gael 18.

$$\frac{3\sqrt{2}}{15\sqrt{2}+18\sqrt{2}-2\sqrt{162}}$$

Cyfuno 15\sqrt{2} a 18\sqrt{2} i gael 33\sqrt{2}.

$$\frac{3\sqrt{2}}{33\sqrt{2}-2\sqrt{162}}$$

Ffactora 162=9^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{9^{2}\times 2} fel lluoswm ail israddau \sqrt{9^{2}}\sqrt{2}. Cymryd isradd 9^{2}.

$$\frac{3\sqrt{2}}{33\sqrt{2}-2\times 9\sqrt{2}}$$

Lluosi -2 a 9 i gael -18.

$$\frac{3\sqrt{2}}{33\sqrt{2}-18\sqrt{2}}$$

Cyfuno 33\sqrt{2} a -18\sqrt{2} i gael 15\sqrt{2}.

$$\frac{3\sqrt{2}}{15\sqrt{2}}$$

Canslo 3\sqrt{2} yn y rhifiadur a'r enwadur.

$$\frac{1}{5}$$

Ffactor

$$\frac{1}{5} = 0.2$$