Datrys frac{sqrt{7}+sqrt{8}}{sqrt{10}}

$$\frac { \sqrt { 7 } + \sqrt { 8 } } { \sqrt { 10 } }$$

Enrhifo

$$\frac{\sqrt{70}+4\sqrt{5}}{10}\approx 1.731087218$$

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}.

$$\frac{\sqrt{7}+2\sqrt{2}}{\sqrt{10}}$$

Mae'n rhesymoli enwadur \frac{\sqrt{7}+2\sqrt{2}}{\sqrt{10}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{10}.

$$\frac{\left(\sqrt{7}+2\sqrt{2}\right)\sqrt{10}}{\left(\sqrt{10}\right)^{2}}$$

Sgwâr \sqrt{10} yw 10.

$$\frac{\left(\sqrt{7}+2\sqrt{2}\right)\sqrt{10}}{10}$$

Defnyddio’r briodwedd ddosbarthu i luosi \sqrt{7}+2\sqrt{2} â \sqrt{10}.

$$\frac{\sqrt{7}\sqrt{10}+2\sqrt{2}\sqrt{10}}{10}$$

I luosi \sqrt{7} a \sqrt{10}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{\sqrt{70}+2\sqrt{2}\sqrt{10}}{10}$$

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

$$\frac{\sqrt{70}+2\sqrt{2}\sqrt{2}\sqrt{5}}{10}$$

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

$$\frac{\sqrt{70}+2\times 2\sqrt{5}}{10}$$

Lluosi 2 a 2 i gael 4.

$$\frac{\sqrt{70}+4\sqrt{5}}{10}$$