Datrys 2^3-2(2+sqrt{3}+sqrt{2}*2sqrt{3}-sqrt{32}-sqrt{3}-sqrt{2})

$$2 ^ { 3 } - 2 ( 2 + \sqrt { 3 } + \sqrt { 2 } \cdot 2 \sqrt { 3 } - \sqrt { 32 } - \sqrt { 3 } - \sqrt { 2 } )$$

Enrhifo

$$10\sqrt{2}+4-4\sqrt{6}\approx 8.344176653$$

Camau Ateb

Cyfrifo 2 i bŵer 3 a chael 8.

$$8-2\left(2+\sqrt{3}+2\sqrt{2}\sqrt{3}-\sqrt{32}-\sqrt{3}-\sqrt{2}\right)$$

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

$$8-2\left(2+\sqrt{3}+2\sqrt{6}-\sqrt{32}-\sqrt{3}-\sqrt{2}\right)$$

Ffactora 32=4^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{4^{2}\times 2} fel lluoswm ail israddau \sqrt{4^{2}}\sqrt{2}. Cymryd isradd 4^{2}.

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

Cyfuno \sqrt{3} a -\sqrt{3} i gael 0.

$$8-2\left(2+2\sqrt{6}-4\sqrt{2}-\sqrt{2}\right)$$

Cyfuno -4\sqrt{2} a -\sqrt{2} i gael -5\sqrt{2}.

$$8-2\left(2+2\sqrt{6}-5\sqrt{2}\right)$$

Defnyddio’r briodwedd ddosbarthu i luosi -2 â 2+2\sqrt{6}-5\sqrt{2}.

$$8-4-4\sqrt{6}+10\sqrt{2}$$

Tynnu 4 o 8 i gael 4.

$$4-4\sqrt{6}+10\sqrt{2}$$

Ffactor

$$2 {(5 \sqrt{2} + 2 - 2 \sqrt{6})} = 8.344176653$$