Datrys 2sqrt{54}+3sqrt{96}-4sqrt{216}=

$$2 \sqrt { 54 } + 3 \sqrt { 96 } - 4 \sqrt { 216 } =$$

Enrhifo

$$-6\sqrt{6}\approx -14.696938457$$

Camau Ateb

Ffactora 54=3^{2}\times 6. Ailysgrifennu ail isradd y lluoswm \sqrt{3^{2}\times 6} fel lluoswm ail israddau \sqrt{3^{2}}\sqrt{6}. Cymryd isradd 3^{2}.

$$2\times 3\sqrt{6}+3\sqrt{96}-4\sqrt{216}$$

Lluosi 2 a 3 i gael 6.

$$6\sqrt{6}+3\sqrt{96}-4\sqrt{216}$$

Ffactora 96=4^{2}\times 6. Ailysgrifennu ail isradd y lluoswm \sqrt{4^{2}\times 6} fel lluoswm ail israddau \sqrt{4^{2}}\sqrt{6}. Cymryd isradd 4^{2}.

$$6\sqrt{6}+3\times 4\sqrt{6}-4\sqrt{216}$$

Lluosi 3 a 4 i gael 12.

$$6\sqrt{6}+12\sqrt{6}-4\sqrt{216}$$

Cyfuno 6\sqrt{6} a 12\sqrt{6} i gael 18\sqrt{6}.

$$18\sqrt{6}-4\sqrt{216}$$

Ffactora 216=6^{2}\times 6. Ailysgrifennu ail isradd y lluoswm \sqrt{6^{2}\times 6} fel lluoswm ail israddau \sqrt{6^{2}}\sqrt{6}. Cymryd isradd 6^{2}.

$$18\sqrt{6}-4\times 6\sqrt{6}$$

Lluosi -4 a 6 i gael -24.

$$18\sqrt{6}-24\sqrt{6}$$

Cyfuno 18\sqrt{6} a -24\sqrt{6} i gael -6\sqrt{6}.

$$-6\sqrt{6}$$