Datrys sqrt{50}+sqrt{98}-sqrt{2}+sqrt{8}

$$\sqrt { 50 } + \sqrt { 98 } - \sqrt { 2 } + \sqrt { 8 }$$

Enrhifo

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

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}.

$$5\sqrt{2}+\sqrt{98}-\sqrt{2}+\sqrt{8}$$

Ffactora 98=7^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{7^{2}\times 2} fel lluoswm ail israddau \sqrt{7^{2}}\sqrt{2}. Cymryd isradd 7^{2}.

$$5\sqrt{2}+7\sqrt{2}-\sqrt{2}+\sqrt{8}$$

Cyfuno 5\sqrt{2} a 7\sqrt{2} i gael 12\sqrt{2}.

$$12\sqrt{2}-\sqrt{2}+\sqrt{8}$$

Cyfuno 12\sqrt{2} a -\sqrt{2} i gael 11\sqrt{2}.

$$11\sqrt{2}+\sqrt{8}$$

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}.

$$11\sqrt{2}+2\sqrt{2}$$

Cyfuno 11\sqrt{2} a 2\sqrt{2} i gael 13\sqrt{2}.

$$13\sqrt{2}$$