Datrys 3sqrt{24}+3sqrt{54}-2sqrt{2}

$$3 \sqrt { 24 } + 3 \sqrt { 54 } - 2 \sqrt { 2 }$$

Enrhifo

$$15\sqrt{6}-2\sqrt{2}\approx 33.913919017$$

Camau Ateb

Ffactora 24=2^{2}\times 6. Ailysgrifennu ail isradd y lluoswm \sqrt{2^{2}\times 6} fel lluoswm ail israddau \sqrt{2^{2}}\sqrt{6}. Cymryd isradd 2^{2}.

$$3\times 2\sqrt{6}+3\sqrt{54}-2\sqrt{2}$$

Lluosi 3 a 2 i gael 6.

$$6\sqrt{6}+3\sqrt{54}-2\sqrt{2}$$

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}.

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

Lluosi 3 a 3 i gael 9.

$$6\sqrt{6}+9\sqrt{6}-2\sqrt{2}$$

Cyfuno 6\sqrt{6} a 9\sqrt{6} i gael 15\sqrt{6}.

$$15\sqrt{6}-2\sqrt{2}$$