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

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

Enrhifo

$$-6\sqrt{2}-6\sqrt{3}\approx -18.87758622$$

Camau Ateb

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

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

Lluosi 2 a -1 i gael -2.

$$-2\sqrt{3}\sqrt{6}+3\sqrt{2}\left(-1\right)\sqrt{6}$$

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

$$-2\sqrt{3}\sqrt{3}\sqrt{2}+3\sqrt{2}\left(-1\right)\sqrt{6}$$

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

$$-2\times 3\sqrt{2}+3\sqrt{2}\left(-1\right)\sqrt{6}$$

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

$$-2\times 3\sqrt{2}+3\sqrt{2}\left(-1\right)\sqrt{2}\sqrt{3}$$

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

$$-2\times 3\sqrt{2}+3\times 2\left(-1\right)\sqrt{3}$$

Lluosi 3 a 2 i gael 6.

$$-2\times 3\sqrt{2}+6\left(-1\right)\sqrt{3}$$

Lluosi 6 a -1 i gael -6.

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

Lluosi -2 a 3 i gael -6.

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

Ffactor

$$6 {(-\sqrt{2} - \sqrt{3})} = -18.87758622$$