Datrys sqrt{6}*2sqrt{3}-sqrt{24}divsqrt{3}

$$\sqrt { 6 } \times 2 \sqrt { 3 } - \sqrt { 24 } \div \sqrt { 3 }$$

Enrhifo

$$4\sqrt{2}\approx 5.656854249$$

Camau Ateb

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

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

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

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

Lluosi 2 a 3 i gael 6.

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

Ailysgrifennu rhaniad ail israddau \frac{\sqrt{24}}{\sqrt{3}} fel ail isradd y rhaniad \sqrt{\frac{24}{3}} a gwneud y swm rhannu.

$$6\sqrt{2}-\sqrt{8}$$

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}.

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

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

$$4\sqrt{2}$$