Datrys 2sqrt{8}-3sqrt{32}+4sqrt{50}

$$2 \sqrt { 8 } - 3 \sqrt { 32 } + 4 \sqrt { 50 }$$

Enrhifo

$$12\sqrt{2}\approx 16.970562748$$

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}.

$$2\times 2\sqrt{2}-3\sqrt{32}+4\sqrt{50}$$

Lluosi 2 a 2 i gael 4.

$$4\sqrt{2}-3\sqrt{32}+4\sqrt{50}$$

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}.

$$4\sqrt{2}-3\times 4\sqrt{2}+4\sqrt{50}$$

Lluosi -3 a 4 i gael -12.

$$4\sqrt{2}-12\sqrt{2}+4\sqrt{50}$$

Cyfuno 4\sqrt{2} a -12\sqrt{2} i gael -8\sqrt{2}.

$$-8\sqrt{2}+4\sqrt{50}$$

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}.

$$-8\sqrt{2}+4\times 5\sqrt{2}$$

Lluosi 4 a 5 i gael 20.

$$-8\sqrt{2}+20\sqrt{2}$$

Cyfuno -8\sqrt{2} a 20\sqrt{2} i gael 12\sqrt{2}.

$$12\sqrt{2}$$