Datrys frac{10-sqrt{32}}{sqrt{2}}

$$\frac { 10 - \sqrt { 32 } } { \sqrt { 2 } }$$

Enrhifo

$$5\sqrt{2}-4\approx 3.071067812$$

Camau Ateb

Ffactora 32=4^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{4^{2}\times 2} fel lluoswm ail israddau \sqrt{4^{2}}\sqrt{2}. Cymryd isradd 4^{2}.

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

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

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

Sgwâr \sqrt{2} yw 2.

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

Defnyddio’r briodwedd ddosbarthu i luosi 10-4\sqrt{2} â \sqrt{2}.

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

Sgwâr \sqrt{2} yw 2.

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

Lluosi -4 a 2 i gael -8.

$$\frac{10\sqrt{2}-8}{2}$$

Rhannu pob term 10\sqrt{2}-8 â 2 i gael 5\sqrt{2}-4.

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