Datrys 2sqrt{18}-2sqrt{12}+2sqrt{18}

$$2 \sqrt { 18 } - 2 \sqrt { 12 } + 2 \sqrt { 18 }$$

Enrhifo

$$4\sqrt{3}\left(\sqrt{6}-1\right)\approx 10.042359518$$

Camau Ateb

Ffactora 18=3^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{3^{2}\times 2} fel lluoswm ail israddau \sqrt{3^{2}}\sqrt{2}. Cymryd isradd 3^{2}.

$$2\times 3\sqrt{2}-2\sqrt{12}+2\sqrt{18}$$

Lluosi 2 a 3 i gael 6.

$$6\sqrt{2}-2\sqrt{12}+2\sqrt{18}$$

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}.

$$6\sqrt{2}-2\times 2\sqrt{3}+2\sqrt{18}$$

Lluosi -2 a 2 i gael -4.

$$6\sqrt{2}-4\sqrt{3}+2\sqrt{18}$$

Ffactora 18=3^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{3^{2}\times 2} fel lluoswm ail israddau \sqrt{3^{2}}\sqrt{2}. Cymryd isradd 3^{2}.

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

Lluosi 2 a 3 i gael 6.

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

Cyfuno 6\sqrt{2} a 6\sqrt{2} i gael 12\sqrt{2}.

$$12\sqrt{2}-4\sqrt{3}$$

Ffactor

$$4 \sqrt{3} {(\sqrt{2} \sqrt{3} - 1)} = 10.042359518$$