Datrys sqrt{8}+sqrt{72}+sqrt{50}

$$\sqrt { 8 } + \sqrt { 72 } + \sqrt { 50 }$$

Enrhifo

$$13\sqrt{2}\approx 18.384776311$$

Camau Ateb

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}.

$$2\sqrt{2}+\sqrt{72}+\sqrt{50}$$

Ffactora 72=6^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{6^{2}\times 2} fel lluoswm ail israddau \sqrt{6^{2}}\sqrt{2}. Cymryd isradd 6^{2}.

$$2\sqrt{2}+6\sqrt{2}+\sqrt{50}$$

Cyfuno 2\sqrt{2} a 6\sqrt{2} i gael 8\sqrt{2}.

$$8\sqrt{2}+\sqrt{50}$$

Ffactora 50=5^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{5^{2}\times 2} fel lluoswm ail israddau \sqrt{5^{2}}\sqrt{2}. Cymryd isradd 5^{2}.

$$8\sqrt{2}+5\sqrt{2}$$

Cyfuno 8\sqrt{2} a 5\sqrt{2} i gael 13\sqrt{2}.

$$13\sqrt{2}$$