Datrys frac{sqrt{8}*sqrt{20}}{sqrt{2}}

$$\frac { \sqrt { 8 } \cdot \sqrt { 20 } } { \sqrt { 2 } }$$

Enrhifo

$$4\sqrt{5}\approx 8.94427191$$

Camau Ateb

Ffactora 8=2^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{2^{2}\times 2} fel lluoswm ail israddau \sqrt{2^{2}}\sqrt{2}. Cymryd isradd 2^{2}.

$$\frac{2\sqrt{2}\sqrt{20}}{\sqrt{2}}$$

Ffactora 20=2^{2}\times 5. Ailysgrifennu ail isradd y lluoswm \sqrt{2^{2}\times 5} fel lluoswm ail israddau \sqrt{2^{2}}\sqrt{5}. Cymryd isradd 2^{2}.

$$\frac{2\sqrt{2}\times 2\sqrt{5}}{\sqrt{2}}$$

Lluosi 2 a 2 i gael 4.

$$\frac{4\sqrt{2}\sqrt{5}}{\sqrt{2}}$$

I luosi \sqrt{2} a \sqrt{5}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{4\sqrt{10}}{\sqrt{2}}$$

Mae'n rhesymoli enwadur \frac{4\sqrt{10}}{\sqrt{2}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{2}.

$$\frac{4\sqrt{10}\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

Sgwâr \sqrt{2} yw 2.

$$\frac{4\sqrt{10}\sqrt{2}}{2}$$

Ffactora 10=2\times 5. Ailysgrifennu ail isradd y lluoswm \sqrt{2\times 5} fel lluoswm ail israddau \sqrt{2}\sqrt{5}.

$$\frac{4\sqrt{2}\sqrt{5}\sqrt{2}}{2}$$

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

$$\frac{4\times 2\sqrt{5}}{2}$$

Canslo 2 a 2.

$$4\sqrt{5}$$