Datrys (2sqrt{3}-sqrt{6})*sqrt{12}

$$( 2 \sqrt { 3 } - \sqrt { 6 } ) \times \sqrt { 12 }$$

Enrhifo

$$12-6\sqrt{2}\approx 3.514718626$$

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}.

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

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

$$\left(4\sqrt{3}-2\sqrt{6}\right)\sqrt{3}$$

Defnyddio’r briodwedd ddosbarthu i luosi 4\sqrt{3}-2\sqrt{6} â \sqrt{3}.

$$4\left(\sqrt{3}\right)^{2}-2\sqrt{6}\sqrt{3}$$

Sgwâr \sqrt{3} yw 3.

$$4\times 3-2\sqrt{6}\sqrt{3}$$

Lluosi 4 a 3 i gael 12.

$$12-2\sqrt{6}\sqrt{3}$$

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

$$12-2\sqrt{3}\sqrt{2}\sqrt{3}$$

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

$$12-2\times 3\sqrt{2}$$

Lluosi -2 a 3 i gael -6.

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