Datrys (sqrt{18}+3sqrt{3}-sqrt{12})*2sqrt{3}

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

Enrhifo

$$6\sqrt{6}+6\approx 20.696938457$$

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}.

$$2\left(3\sqrt{2}+3\sqrt{3}-\sqrt{12}\right)\sqrt{3}$$

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}.

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

Cyfuno 3\sqrt{3} a -2\sqrt{3} i gael \sqrt{3}.

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

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

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

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

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

I luosi \sqrt{2} a \sqrt{3}, dylid lluosi'r rhifau dan yr ail isradd.

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

Sgwâr \sqrt{3} yw 3.

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

Lluosi 2 a 3 i gael 6.

$$6\sqrt{6}+6$$