Datrys frac{8-sqrt{18}}{sqrt{2}}

$$\frac { 8 - \sqrt { 18 } } { \sqrt { 2 } }$$

Enrhifo

$$4\sqrt{2}-3\approx 2.656854249$$

Camau Ateb

Ffactora 18=3^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{3^{2}\times 2} fel lluoswm ail israddau \sqrt{3^{2}}\sqrt{2}. Cymryd isradd 3^{2}.

$$\frac{8-3\sqrt{2}}{\sqrt{2}}$$

Mae'n rhesymoli enwadur \frac{8-3\sqrt{2}}{\sqrt{2}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{2}.

$$\frac{\left(8-3\sqrt{2}\right)\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

Sgwâr \sqrt{2} yw 2.

$$\frac{\left(8-3\sqrt{2}\right)\sqrt{2}}{2}$$

Defnyddio’r briodwedd ddosbarthu i luosi 8-3\sqrt{2} â \sqrt{2}.

$$\frac{8\sqrt{2}-3\left(\sqrt{2}\right)^{2}}{2}$$

Sgwâr \sqrt{2} yw 2.

$$\frac{8\sqrt{2}-3\times 2}{2}$$

Lluosi -3 a 2 i gael -6.

$$\frac{8\sqrt{2}-6}{2}$$

Rhannu pob term 8\sqrt{2}-6 â 2 i gael 4\sqrt{2}-3.

$$4\sqrt{2}-3$$