Datrys 2sqrt{2}*5sqrt{1/6}

$$2 \sqrt{ 2 } \times 5 \sqrt{ \frac{ 1 }{ 6 } }$$

Enrhifo

$$\frac{10\sqrt{3}}{3}\approx 5.773502692$$

Camau Ateb

Lluosi 2 a 5 i gael 10.

$$10\sqrt{2}\sqrt{\frac{1}{6}}$$

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{1}{6}} fel rhaniad ail israddau \frac{\sqrt{1}}{\sqrt{6}}.

$$10\sqrt{2}\times \frac{\sqrt{1}}{\sqrt{6}}$$

Cyfrifo ail isradd 1 a chael 1.

$$10\sqrt{2}\times \frac{1}{\sqrt{6}}$$

Mae'n rhesymoli enwadur \frac{1}{\sqrt{6}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{6}.

$$10\sqrt{2}\times \frac{\sqrt{6}}{\left(\sqrt{6}\right)^{2}}$$

Sgwâr \sqrt{6} yw 6.

$$10\sqrt{2}\times \frac{\sqrt{6}}{6}$$

Mynegwch 10\times \frac{\sqrt{6}}{6} fel ffracsiwn unigol.

$$\frac{10\sqrt{6}}{6}\sqrt{2}$$

Rhannu 10\sqrt{6} â 6 i gael \frac{5}{3}\sqrt{6}.

$$\frac{5}{3}\sqrt{6}\sqrt{2}$$

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

$$\frac{5}{3}\sqrt{2}\sqrt{3}\sqrt{2}$$

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

$$\frac{5}{3}\times 2\sqrt{3}$$

Mynegwch \frac{5}{3}\times 2 fel ffracsiwn unigol.

$$\frac{5\times 2}{3}\sqrt{3}$$

Lluosi 5 a 2 i gael 10.

$$\frac{10}{3}\sqrt{3}$$