Datrys sqrt{48}+2sqrt{75}-3sqrt{27}

$$\sqrt { 48 } + 2 \sqrt { 75 } - 3 \sqrt { 27 }$$

Enrhifo

$$5\sqrt{3}\approx 8.660254038$$

Camau Ateb

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}.

$$4\sqrt{3}+2\sqrt{75}-3\sqrt{27}$$

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}.

$$4\sqrt{3}+2\times 5\sqrt{3}-3\sqrt{27}$$

Lluosi 2 a 5 i gael 10.

$$4\sqrt{3}+10\sqrt{3}-3\sqrt{27}$$

Cyfuno 4\sqrt{3} a 10\sqrt{3} i gael 14\sqrt{3}.

$$14\sqrt{3}-3\sqrt{27}$$

Ffactora 27=3^{2}\times 3. Ailysgrifennu ail isradd y lluoswm \sqrt{3^{2}\times 3} fel lluoswm ail israddau \sqrt{3^{2}}\sqrt{3}. Cymryd isradd 3^{2}.

$$14\sqrt{3}-3\times 3\sqrt{3}$$

Lluosi -3 a 3 i gael -9.

$$14\sqrt{3}-9\sqrt{3}$$

Cyfuno 14\sqrt{3} a -9\sqrt{3} i gael 5\sqrt{3}.

$$5\sqrt{3}$$