Datrys 3sqrt{18}-sqrt{72}+2sqrt{8}

$$3 \sqrt { 18 } - \sqrt { 72 } + 2 \sqrt { 8 }$$

Enrhifo

$$7\sqrt{2}\approx 9.899494937$$

Camau Ateb

Ffactora 18=3^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{3^{2}\times 2} fel lluoswm ail israddau \sqrt{3^{2}}\sqrt{2}. Cymryd isradd 3^{2}.

$$3\times 3\sqrt{2}-\sqrt{72}+2\sqrt{8}$$

Lluosi 3 a 3 i gael 9.

$$9\sqrt{2}-\sqrt{72}+2\sqrt{8}$$

Ffactora 72=6^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{6^{2}\times 2} fel lluoswm ail israddau \sqrt{6^{2}}\sqrt{2}. Cymryd isradd 6^{2}.

$$9\sqrt{2}-6\sqrt{2}+2\sqrt{8}$$

Cyfuno 9\sqrt{2} a -6\sqrt{2} i gael 3\sqrt{2}.

$$3\sqrt{2}+2\sqrt{8}$$

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}.

$$3\sqrt{2}+2\times 2\sqrt{2}$$

Lluosi 2 a 2 i gael 4.

$$3\sqrt{2}+4\sqrt{2}$$

Cyfuno 3\sqrt{2} a 4\sqrt{2} i gael 7\sqrt{2}.

$$7\sqrt{2}$$