Datrys sqrt{50}+sqrt{72}-sqrt{32}

$$\sqrt{ 50 } + \sqrt{ 72 } - \sqrt{ 32 }$$

Enrhifo

$$7\sqrt{2}\approx 9.899494937$$

Camau Ateb

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}.

$$5\sqrt{2}+\sqrt{72}-\sqrt{32}$$

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}.

$$5\sqrt{2}+6\sqrt{2}-\sqrt{32}$$

Cyfuno 5\sqrt{2} a 6\sqrt{2} i gael 11\sqrt{2}.

$$11\sqrt{2}-\sqrt{32}$$

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}.

$$11\sqrt{2}-4\sqrt{2}$$

Cyfuno 11\sqrt{2} a -4\sqrt{2} i gael 7\sqrt{2}.

$$7\sqrt{2}$$