Datrys sqrt{10}*2sqrt{5}div1/sqrt{10}

$$\sqrt { 10 } \times 2 \sqrt { 5 } \div \frac { 1 } { \sqrt { 10 } }$$

Enrhifo

$$20\sqrt{5}\approx 44.72135955$$

Camau Ateb

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

$$\frac{2\sqrt{5}\sqrt{2}\sqrt{5}}{\frac{1}{\sqrt{10}}}$$

Lluosi \sqrt{5} a \sqrt{5} i gael 5.

$$\frac{2\times 5\sqrt{2}}{\frac{1}{\sqrt{10}}}$$

Lluosi 2 a 5 i gael 10.

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

Mae'n rhesymoli enwadur \frac{1}{\sqrt{10}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{10}.

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

Sgwâr \sqrt{10} yw 10.

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

Rhannwch 10\sqrt{2} â \frac{\sqrt{10}}{10} drwy luosi 10\sqrt{2} â chilydd \frac{\sqrt{10}}{10}.

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

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

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

Sgwâr \sqrt{10} yw 10.

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

Lluosi 10 a 10 i gael 100.

$$\frac{100\sqrt{2}\sqrt{10}}{10}$$

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

$$\frac{100\sqrt{2}\sqrt{2}\sqrt{5}}{10}$$

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

$$\frac{100\times 2\sqrt{5}}{10}$$

Lluosi 100 a 2 i gael 200.

$$\frac{200\sqrt{5}}{10}$$

Rhannu 200\sqrt{5} â 10 i gael 20\sqrt{5}.

$$20\sqrt{5}$$