Datrys sqrt{8}-sqrt{32}+sqrt{128}

$$\sqrt { 8 } - \sqrt { 32 } + \sqrt { 128 }$$

Enrhifo

$$6\sqrt{2}\approx 8.485281374$$

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}.

$$2\sqrt{2}-\sqrt{32}+\sqrt{128}$$

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}.

$$2\sqrt{2}-4\sqrt{2}+\sqrt{128}$$

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

$$-2\sqrt{2}+\sqrt{128}$$

Ffactora 128=8^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{8^{2}\times 2} fel lluoswm ail israddau \sqrt{8^{2}}\sqrt{2}. Cymryd isradd 8^{2}.

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

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

$$6\sqrt{2}$$