Datrys -6sqrt{8}*2sqrt{6}div4sqrt{27}

$$- 6 \sqrt { 8 } \times 2 \sqrt { 6 } \div 4 \sqrt { 27 }$$

Enrhifo

$$-108$$

Camau Ateb

Lluosi 2 a -6 i gael -12.

$$\frac{-12\sqrt{8}\sqrt{6}}{4}\sqrt{27}$$

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}.

$$\frac{-12\times 2\sqrt{2}\sqrt{6}}{4}\sqrt{27}$$

Lluosi -12 a 2 i gael -24.

$$\frac{-24\sqrt{2}\sqrt{6}}{4}\sqrt{27}$$

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

$$\frac{-24\sqrt{2}\sqrt{2}\sqrt{3}}{4}\sqrt{27}$$

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

$$\frac{-24\times 2\sqrt{3}}{4}\sqrt{27}$$

Lluosi -24 a 2 i gael -48.

$$\frac{-48\sqrt{3}}{4}\sqrt{27}$$

Rhannu -48\sqrt{3} â 4 i gael -12\sqrt{3}.

$$-12\sqrt{3}\sqrt{27}$$

Ffactora 27=3^{2}\times 3. Ailysgrifennu ail isradd y lluoswm \sqrt{3^{2}\times 3} fel lluoswm ail israddau \sqrt{3^{2}}\sqrt{3}. Cymryd isradd 3^{2}.

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

Lluosi -12 a 3 i gael -36.

$$-36\sqrt{3}\sqrt{3}$$

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

$$-36\times 3$$

Lluosi -36 a 3 i gael -108.

$$-108$$

Ffactor

$$-108$$