Datrys frac{sqrt{24}+sqrt{8}}{sqrt{2}}-1

$$\frac{ \sqrt{ 24 } + \sqrt{ 8 } }{ \sqrt{ 2 } } -1$$

Enrhifo

$$2\sqrt{3}+1\approx 4.464101615$$

Camau Ateb Byr

Ffactora 24=2^{2}\times 6. Ailysgrifennu ail isradd y lluoswm \sqrt{2^{2}\times 6} fel lluoswm ail israddau \sqrt{2^{2}}\sqrt{6}. Cymryd isradd 2^{2}.

$$\frac{2\sqrt{6}+\sqrt{8}}{\sqrt{2}}-1$$

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}.

$$\frac{2\sqrt{6}+2\sqrt{2}}{\sqrt{2}}-1$$

Mae'n rhesymoli enwadur \frac{2\sqrt{6}+2\sqrt{2}}{\sqrt{2}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{2}.

$$\frac{\left(2\sqrt{6}+2\sqrt{2}\right)\sqrt{2}}{\left(\sqrt{2}\right)^{2}}-1$$

Sgwâr \sqrt{2} yw 2.

$$\frac{\left(2\sqrt{6}+2\sqrt{2}\right)\sqrt{2}}{2}-1$$

I ychwanegu neu dynnu mynegiannau, rhaid i chi eu ehangu i wneud eu enwaduron yr un fath. Lluoswch 1 â \frac{2}{2}.

$$\frac{\left(2\sqrt{6}+2\sqrt{2}\right)\sqrt{2}}{2}-\frac{2}{2}$$

Gan fod gan \frac{\left(2\sqrt{6}+2\sqrt{2}\right)\sqrt{2}}{2} a \frac{2}{2} yr un dynodydd, tynnwch nhw drwy dynnu eu rhifiaduron.

$$\frac{\left(2\sqrt{6}+2\sqrt{2}\right)\sqrt{2}-2}{2}$$

Gwnewch y gwaith lluosi yn \left(2\sqrt{6}+2\sqrt{2}\right)\sqrt{2}-2.

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

Gwnewch y gwaith cyfrifo yn 4\sqrt{3}+4-2.

$$\frac{4\sqrt{3}+2}{2}$$

Rhannu pob term 4\sqrt{3}+2 â 2 i gael 2\sqrt{3}+1.

$$2\sqrt{3}+1$$