Datrys 2sqrt{12}+4sqrt{18}divsqrt{3}

$$2 \sqrt{ 12 } +4 \sqrt{ 18 } \div \sqrt{ 3 }$$

Enrhifo

$$4\left(\sqrt{3}+\sqrt{6}\right)\approx 16.726162201$$

Camau Ateb

Ffactora 12=2^{2}\times 3. Ailysgrifennu ail isradd y lluoswm \sqrt{2^{2}\times 3} fel lluoswm ail israddau \sqrt{2^{2}}\sqrt{3}. Cymryd isradd 2^{2}.

$$2\times 2\sqrt{3}+\frac{4\sqrt{18}}{\sqrt{3}}$$

Lluosi 2 a 2 i gael 4.

$$4\sqrt{3}+\frac{4\sqrt{18}}{\sqrt{3}}$$

Ffactora 18=3^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{3^{2}\times 2} fel lluoswm ail israddau \sqrt{3^{2}}\sqrt{2}. Cymryd isradd 3^{2}.

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

Lluosi 4 a 3 i gael 12.

$$4\sqrt{3}+\frac{12\sqrt{2}}{\sqrt{3}}$$

Mae'n rhesymoli enwadur \frac{12\sqrt{2}}{\sqrt{3}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{3}.

$$4\sqrt{3}+\frac{12\sqrt{2}\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

Sgwâr \sqrt{3} yw 3.

$$4\sqrt{3}+\frac{12\sqrt{2}\sqrt{3}}{3}$$

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

$$4\sqrt{3}+\frac{12\sqrt{6}}{3}$$

Rhannu 12\sqrt{6} â 3 i gael 4\sqrt{6}.

$$4\sqrt{3}+4\sqrt{6}$$

Ffactor

$$4 {(\sqrt{3} + \sqrt{6})} = 16.726162201$$