Datrys 4sqrt{80}+8sqrt{45}-4sqrt{48}+sqrt{30000}

$$4 \sqrt { 80 } + 8 \sqrt { 45 } - 4 \sqrt { 48 } + \sqrt { 30000 }$$

Enrhifo

$$40\sqrt{5}+84\sqrt{3}\approx 234.934986936$$

Camau Ateb

Ffactora 80=4^{2}\times 5. Ailysgrifennu ail isradd y lluoswm \sqrt{4^{2}\times 5} fel lluoswm ail israddau \sqrt{4^{2}}\sqrt{5}. Cymryd isradd 4^{2}.

$$4\times 4\sqrt{5}+8\sqrt{45}-4\sqrt{48}+\sqrt{30000}$$

Lluosi 4 a 4 i gael 16.

$$16\sqrt{5}+8\sqrt{45}-4\sqrt{48}+\sqrt{30000}$$

Ffactora 45=3^{2}\times 5. Ailysgrifennu ail isradd y lluoswm \sqrt{3^{2}\times 5} fel lluoswm ail israddau \sqrt{3^{2}}\sqrt{5}. Cymryd isradd 3^{2}.

$$16\sqrt{5}+8\times 3\sqrt{5}-4\sqrt{48}+\sqrt{30000}$$

Lluosi 8 a 3 i gael 24.

$$16\sqrt{5}+24\sqrt{5}-4\sqrt{48}+\sqrt{30000}$$

Cyfuno 16\sqrt{5} a 24\sqrt{5} i gael 40\sqrt{5}.

$$40\sqrt{5}-4\sqrt{48}+\sqrt{30000}$$

Ffactora 48=4^{2}\times 3. Ailysgrifennu ail isradd y lluoswm \sqrt{4^{2}\times 3} fel lluoswm ail israddau \sqrt{4^{2}}\sqrt{3}. Cymryd isradd 4^{2}.

$$40\sqrt{5}-4\times 4\sqrt{3}+\sqrt{30000}$$

Lluosi -4 a 4 i gael -16.

$$40\sqrt{5}-16\sqrt{3}+\sqrt{30000}$$

Ffactora 30000=100^{2}\times 3. Ailysgrifennu ail isradd y lluoswm \sqrt{100^{2}\times 3} fel lluoswm ail israddau \sqrt{100^{2}}\sqrt{3}. Cymryd isradd 100^{2}.

$$40\sqrt{5}-16\sqrt{3}+100\sqrt{3}$$

Cyfuno -16\sqrt{3} a 100\sqrt{3} i gael 84\sqrt{3}.

$$40\sqrt{5}+84\sqrt{3}$$