Datrys (sqrt{1/2}-frac{sqrt{3}}{3})*sqrt{24}

$$( \sqrt { \frac { 1 } { 2 } } - \frac { \sqrt { 3 } } { 3 } ) \times \sqrt { 24 }$$

Enrhifo

$$2\left(\sqrt{3}-\sqrt{2}\right)\approx 0.63567449$$

Camau Ateb Byr

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

$$\left(\frac{\sqrt{1}}{\sqrt{2}}-\frac{\sqrt{3}}{3}\right)\sqrt{24}$$

Cyfrifo ail isradd 1 a chael 1.

$$\left(\frac{1}{\sqrt{2}}-\frac{\sqrt{3}}{3}\right)\sqrt{24}$$

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

$$\left(\frac{\sqrt{2}}{\left(\sqrt{2}\right)^{2}}-\frac{\sqrt{3}}{3}\right)\sqrt{24}$$

Sgwâr \sqrt{2} yw 2.

$$\left(\frac{\sqrt{2}}{2}-\frac{\sqrt{3}}{3}\right)\sqrt{24}$$

I ychwanegu neu dynnu mynegiannau, rhaid i chi eu ehangu i wneud eu enwaduron yr un fath. Lluosrif lleiaf cyffredin 2 a 3 yw 6. Lluoswch \frac{\sqrt{2}}{2} â \frac{3}{3}. Lluoswch \frac{\sqrt{3}}{3} â \frac{2}{2}.

$$\left(\frac{3\sqrt{2}}{6}-\frac{2\sqrt{3}}{6}\right)\sqrt{24}$$

Gan fod gan \frac{3\sqrt{2}}{6} a \frac{2\sqrt{3}}{6} yr un dynodydd, tynnwch nhw drwy dynnu eu rhifiaduron.

$$\frac{3\sqrt{2}-2\sqrt{3}}{6}\sqrt{24}$$

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}.

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

Diddymwch y ffactor cyffredin mwyaf 6 yn 2 a 6.

$$\frac{3\sqrt{2}-2\sqrt{3}}{3}\sqrt{6}$$

Mynegwch \frac{3\sqrt{2}-2\sqrt{3}}{3}\sqrt{6} fel ffracsiwn unigol.

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

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

$$\frac{3\sqrt{2}\sqrt{6}-2\sqrt{3}\sqrt{6}}{3}$$

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

$$\frac{3\sqrt{2}\sqrt{2}\sqrt{3}-2\sqrt{3}\sqrt{6}}{3}$$

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

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

Lluosi 3 a 2 i gael 6.

$$\frac{6\sqrt{3}-2\sqrt{3}\sqrt{6}}{3}$$

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

$$\frac{6\sqrt{3}-2\sqrt{3}\sqrt{3}\sqrt{2}}{3}$$

Lluosi \sqrt{3} a \sqrt{3} i gael 3.

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

Lluosi -2 a 3 i gael -6.

$$\frac{6\sqrt{3}-6\sqrt{2}}{3}$$

Ffactor

$$2 {(\sqrt{3} - \sqrt{2})} = 0.63567449$$