Datrys sqrt{2}(sqrt{24}+sqrt{8})

$$\sqrt { 2 } ( \sqrt { 24 } + \sqrt { 8 } )$$

Enrhifo

$$4\left(\sqrt{3}+1\right)\approx 10.92820323$$

Camau Ateb

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}.

$$\sqrt{2}\left(2\sqrt{6}+\sqrt{8}\right)$$

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}.

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

Defnyddio’r briodwedd ddosbarthu i luosi \sqrt{2} â 2\sqrt{6}+2\sqrt{2}.

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

Ffactora 6=2\times 3. Ailysgrifennu ail isradd y lluoswm \sqrt{2\times 3} fel lluoswm ail israddau \sqrt{2}\sqrt{3}.

$$2\sqrt{2}\sqrt{2}\sqrt{3}+2\left(\sqrt{2}\right)^{2}$$

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

$$2\times 2\sqrt{3}+2\left(\sqrt{2}\right)^{2}$$

Lluosi 2 a 2 i gael 4.

$$4\sqrt{3}+2\left(\sqrt{2}\right)^{2}$$

Sgwâr \sqrt{2} yw 2.

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

Lluosi 2 a 2 i gael 4.

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