Datrys a=2*(8+sqrt{18})-3*(4+sqrt{8})

$$a = 2 \cdot ( 8 + \sqrt { 18 } ) - 3 \cdot ( 4 + \sqrt { 8 } )$$

Datrys ar gyfer a

$$a=4$$

Camau ar gyfer Datrys Hafaliad Llinol

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}.

$$a=2\left(8+3\sqrt{2}\right)-3\left(4+\sqrt{8}\right)$$

Defnyddio’r briodwedd ddosbarthu i luosi 2 â 8+3\sqrt{2}.

$$a=16+6\sqrt{2}-3\left(4+\sqrt{8}\right)$$

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}.

$$a=16+6\sqrt{2}-3\left(4+2\sqrt{2}\right)$$

Defnyddio’r briodwedd ddosbarthu i luosi -3 â 4+2\sqrt{2}.

$$a=16+6\sqrt{2}-12-6\sqrt{2}$$

Tynnu 12 o 16 i gael 4.

$$a=4+6\sqrt{2}-6\sqrt{2}$$

Cyfuno 6\sqrt{2} a -6\sqrt{2} i gael 0.

$$a=4$$

Neilltuo a

$$a≔4$$