Datrys (3sqrt{6}+sqrt{24})divsqrt{2}

$$( 3 \sqrt { 6 } + \sqrt { 24 } ) \div \sqrt { 2 }$$

Enrhifo

$$5\sqrt{3}\approx 8.660254038$$

Camau Ateb

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}.

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

Cyfuno 3\sqrt{6} a 2\sqrt{6} i gael 5\sqrt{6}.

$$\frac{5\sqrt{6}}{\sqrt{2}}$$

Mae'n rhesymoli enwadur \frac{5\sqrt{6}}{\sqrt{2}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{2}.

$$\frac{5\sqrt{6}\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

Sgwâr \sqrt{2} yw 2.

$$\frac{5\sqrt{6}\sqrt{2}}{2}$$

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

$$\frac{5\sqrt{2}\sqrt{3}\sqrt{2}}{2}$$

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

$$\frac{5\times 2\sqrt{3}}{2}$$

Canslo 2 a 2.

$$5\sqrt{3}$$