Datrys sqrt{32}+2sqrt{8}-3sqrt{18}=

$$\sqrt { 32 } + 2 \sqrt { 8 } - 3 \sqrt { 18 } =$$

Enrhifo

$$-\sqrt{2}\approx -1.414213562$$

Camau Ateb

Ffactora 32=4^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{4^{2}\times 2} fel lluoswm ail israddau \sqrt{4^{2}}\sqrt{2}. Cymryd isradd 4^{2}.

$$4\sqrt{2}+2\sqrt{8}-3\sqrt{18}$$

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}.

$$4\sqrt{2}+2\times 2\sqrt{2}-3\sqrt{18}$$

Lluosi 2 a 2 i gael 4.

$$4\sqrt{2}+4\sqrt{2}-3\sqrt{18}$$

Cyfuno 4\sqrt{2} a 4\sqrt{2} i gael 8\sqrt{2}.

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

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}.

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

Lluosi -3 a 3 i gael -9.

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

Cyfuno 8\sqrt{2} a -9\sqrt{2} i gael -\sqrt{2}.

$$-\sqrt{2}$$