Datrys 2sqrt{8}+3sqrt{45}-2sqrt{20}

$$2 \sqrt { 8 } + 3 \sqrt { 45 } - 2 \sqrt { 20 }$$

Enrhifo

$$4\sqrt{2}+5\sqrt{5}\approx 16.837194137$$

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}.

$$2\times 2\sqrt{2}+3\sqrt{45}-2\sqrt{20}$$

Lluosi 2 a 2 i gael 4.

$$4\sqrt{2}+3\sqrt{45}-2\sqrt{20}$$

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}.

$$4\sqrt{2}+3\times 3\sqrt{5}-2\sqrt{20}$$

Lluosi 3 a 3 i gael 9.

$$4\sqrt{2}+9\sqrt{5}-2\sqrt{20}$$

Ffactora 20=2^{2}\times 5. Ailysgrifennu ail isradd y lluoswm \sqrt{2^{2}\times 5} fel lluoswm ail israddau \sqrt{2^{2}}\sqrt{5}. Cymryd isradd 2^{2}.

$$4\sqrt{2}+9\sqrt{5}-2\times 2\sqrt{5}$$

Lluosi -2 a 2 i gael -4.

$$4\sqrt{2}+9\sqrt{5}-4\sqrt{5}$$

Cyfuno 9\sqrt{5} a -4\sqrt{5} i gael 5\sqrt{5}.

$$4\sqrt{2}+5\sqrt{5}$$