Datrys (4sqrt{6}-4sqrt{1/2}+3sqrt{8})div2sqrt{2}=

$$( 4 \sqrt { 6 } - 4 \sqrt { \frac { 1 } { 2 } } + 3 \sqrt { 8 } ) \div 2 \sqrt { 2 } =$$

Enrhifo

$$4\left(\sqrt{3}+1\right)\approx 10.92820323$$

Camau Ateb

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{1}{2}} fel rhaniad ail israddau \frac{\sqrt{1}}{\sqrt{2}}.

$$\frac{4\sqrt{6}-4\times \frac{\sqrt{1}}{\sqrt{2}}+3\sqrt{8}}{2}\sqrt{2}$$

Cyfrifo ail isradd 1 a chael 1.

$$\frac{4\sqrt{6}-4\times \frac{1}{\sqrt{2}}+3\sqrt{8}}{2}\sqrt{2}$$

Mae'n rhesymoli enwadur \frac{1}{\sqrt{2}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{2}.

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

Sgwâr \sqrt{2} yw 2.

$$\frac{4\sqrt{6}-4\times \frac{\sqrt{2}}{2}+3\sqrt{8}}{2}\sqrt{2}$$

Diddymwch y ffactor cyffredin mwyaf 2 yn 4 a 2.

$$\frac{4\sqrt{6}-2\sqrt{2}+3\sqrt{8}}{2}\sqrt{2}$$

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}.

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

Lluosi 3 a 2 i gael 6.

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

Cyfuno -2\sqrt{2} a 6\sqrt{2} i gael 4\sqrt{2}.

$$\frac{4\sqrt{6}+4\sqrt{2}}{2}\sqrt{2}$$

Mynegwch \frac{4\sqrt{6}+4\sqrt{2}}{2}\sqrt{2} fel ffracsiwn unigol.

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

Defnyddio’r briodwedd ddosbarthu i luosi 4\sqrt{6}+4\sqrt{2} â \sqrt{2}.

$$\frac{4\sqrt{6}\sqrt{2}+4\left(\sqrt{2}\right)^{2}}{2}$$

Ffactora 6=2\times 3. Ailysgrifennu ail isradd y lluoswm \sqrt{2\times 3} fel lluoswm ail israddau \sqrt{2}\sqrt{3}.

$$\frac{4\sqrt{2}\sqrt{3}\sqrt{2}+4\left(\sqrt{2}\right)^{2}}{2}$$

Lluosi \sqrt{2} a \sqrt{2} i gael 2.

$$\frac{4\times 2\sqrt{3}+4\left(\sqrt{2}\right)^{2}}{2}$$

Lluosi 4 a 2 i gael 8.

$$\frac{8\sqrt{3}+4\left(\sqrt{2}\right)^{2}}{2}$$

Sgwâr \sqrt{2} yw 2.

$$\frac{8\sqrt{3}+4\times 2}{2}$$

Lluosi 4 a 2 i gael 8.

$$\frac{8\sqrt{3}+8}{2}$$