Datrys sqrt{5}+12sqrt{8}-3sqrt{5}+4sqrt{8}

$$\sqrt { 5 } + 12 \sqrt { 8 } - 3 \sqrt { 5 } + 4 \sqrt { 8 }$$

Enrhifo

$$32\sqrt{2}-2\sqrt{5}\approx 40.782698041$$

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}.

$$\sqrt{5}+12\times 2\sqrt{2}-3\sqrt{5}+4\sqrt{8}$$

Lluosi 12 a 2 i gael 24.

$$\sqrt{5}+24\sqrt{2}-3\sqrt{5}+4\sqrt{8}$$

Cyfuno \sqrt{5} a -3\sqrt{5} i gael -2\sqrt{5}.

$$-2\sqrt{5}+24\sqrt{2}+4\sqrt{8}$$

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}.

$$-2\sqrt{5}+24\sqrt{2}+4\times 2\sqrt{2}$$

Lluosi 4 a 2 i gael 8.

$$-2\sqrt{5}+24\sqrt{2}+8\sqrt{2}$$

Cyfuno 24\sqrt{2} a 8\sqrt{2} i gael 32\sqrt{2}.

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