Datrys sqrt{6}(sqrt{12}+2sqrt{6})

$$\sqrt { 6 } ( \sqrt { 12 } + 2 \sqrt { 6 } )$$

Enrhifo

$$6\sqrt{2}+12\approx 20.485281374$$

Camau Ateb

Ffactora 12=2^{2}\times 3. Ailysgrifennu ail isradd y lluoswm \sqrt{2^{2}\times 3} fel lluoswm ail israddau \sqrt{2^{2}}\sqrt{3}. Cymryd isradd 2^{2}.

$$\sqrt{6}\left(2\sqrt{3}+2\sqrt{6}\right)$$

Defnyddio’r briodwedd ddosbarthu i luosi \sqrt{6} â 2\sqrt{3}+2\sqrt{6}.

$$2\sqrt{6}\sqrt{3}+2\left(\sqrt{6}\right)^{2}$$

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

$$2\sqrt{3}\sqrt{2}\sqrt{3}+2\left(\sqrt{6}\right)^{2}$$

Lluosi \sqrt{3} a \sqrt{3} i gael 3.

$$2\times 3\sqrt{2}+2\left(\sqrt{6}\right)^{2}$$

Lluosi 2 a 3 i gael 6.

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

Sgwâr \sqrt{6} yw 6.

$$6\sqrt{2}+2\times 6$$

Lluosi 2 a 6 i gael 12.

$$6\sqrt{2}+12$$