Datrys sqrt{12}+sqrt{18}+sqrt{27}-sqrt{32}

$$\sqrt{ 12 } + \sqrt{ 18 } + \sqrt{ 27 } - \sqrt{ 32 }$$

Enrhifo

$$5\sqrt{3}-\sqrt{2}\approx 7.246040475$$

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}.

$$2\sqrt{3}+\sqrt{18}+\sqrt{27}-\sqrt{32}$$

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}.

$$2\sqrt{3}+3\sqrt{2}+\sqrt{27}-\sqrt{32}$$

Ffactora 27=3^{2}\times 3. Ailysgrifennu ail isradd y lluoswm \sqrt{3^{2}\times 3} fel lluoswm ail israddau \sqrt{3^{2}}\sqrt{3}. Cymryd isradd 3^{2}.

$$2\sqrt{3}+3\sqrt{2}+3\sqrt{3}-\sqrt{32}$$

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

$$5\sqrt{3}+3\sqrt{2}-\sqrt{32}$$

Ffactora 32=4^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{4^{2}\times 2} fel lluoswm ail israddau \sqrt{4^{2}}\sqrt{2}. Cymryd isradd 4^{2}.

$$5\sqrt{3}+3\sqrt{2}-4\sqrt{2}$$

Cyfuno 3\sqrt{2} a -4\sqrt{2} i gael -\sqrt{2}.

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