Datrys sqrt{2}sqrt{8}sqrt{18}sqrt{32}

$$\sqrt { 2 } \sqrt { 8 } \sqrt { 18 } \sqrt { 32 }$$

Enrhifo

$$96$$

Camau Ateb

Ffactora 8=2\times 4. Ailysgrifennu ail isradd y lluoswm \sqrt{2\times 4} fel lluoswm ail israddau \sqrt{2}\sqrt{4}.

$$\sqrt{2}\sqrt{2}\sqrt{4}\sqrt{18}\sqrt{32}$$

Lluosi \sqrt{2} a \sqrt{2} i gael 2.

$$2\sqrt{4}\sqrt{18}\sqrt{32}$$

Ffactora 32=4\times 8. Ailysgrifennu ail isradd y lluoswm \sqrt{4\times 8} fel lluoswm ail israddau \sqrt{4}\sqrt{8}.

$$2\sqrt{4}\sqrt{18}\sqrt{4}\sqrt{8}$$

Lluosi \sqrt{4} a \sqrt{4} i gael 4.

$$2\times 4\sqrt{18}\sqrt{8}$$

Lluosi 2 a 4 i gael 8.

$$8\sqrt{18}\sqrt{8}$$

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}.

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

Lluosi 8 a 3 i gael 24.

$$24\sqrt{2}\sqrt{8}$$

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}.

$$24\sqrt{2}\times 2\sqrt{2}$$

Lluosi 24 a 2 i gael 48.

$$48\sqrt{2}\sqrt{2}$$

Lluosi \sqrt{2} a \sqrt{2} i gael 2.

$$48\times 2$$

Lluosi 48 a 2 i gael 96.

$$96$$

Ffactor

$$2^{5}\times 3$$