Datrys 2sqrt{45}-sqrt{50}+3sqrt{75}

$$2 \sqrt { 45 } - \sqrt { 50 } + 3 \sqrt { 75 }$$

Enrhifo

$$6\sqrt{5}+15\sqrt{3}-5\sqrt{2}\approx 32.326102167$$

Camau Ateb

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}.

$$2\times 3\sqrt{5}-\sqrt{50}+3\sqrt{75}$$

Lluosi 2 a 3 i gael 6.

$$6\sqrt{5}-\sqrt{50}+3\sqrt{75}$$

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}.

$$6\sqrt{5}-5\sqrt{2}+3\sqrt{75}$$

Ffactora 75=5^{2}\times 3. Ailysgrifennu ail isradd y lluoswm \sqrt{5^{2}\times 3} fel lluoswm ail israddau \sqrt{5^{2}}\sqrt{3}. Cymryd isradd 5^{2}.

$$6\sqrt{5}-5\sqrt{2}+3\times 5\sqrt{3}$$

Lluosi 3 a 5 i gael 15.

$$6\sqrt{5}-5\sqrt{2}+15\sqrt{3}$$