Datrys sqrt{15}sqrt{20}sqrt{24}=

$$\sqrt { 15 } \sqrt { 20 } \sqrt { 24 } =$$

Enrhifo

$$60\sqrt{2}\approx 84.852813742$$

Camau Ateb

Ffactora 20=2^{2}\times 5. Ailysgrifennu ail isradd y lluoswm \sqrt{2^{2}\times 5} fel lluoswm ail israddau \sqrt{2^{2}}\sqrt{5}. Cymryd isradd 2^{2}.

$$\sqrt{15}\times 2\sqrt{5}\sqrt{24}$$

Ffactora 24=2^{2}\times 6. Ailysgrifennu ail isradd y lluoswm \sqrt{2^{2}\times 6} fel lluoswm ail israddau \sqrt{2^{2}}\sqrt{6}. Cymryd isradd 2^{2}.

$$\sqrt{15}\times 2\sqrt{5}\times 2\sqrt{6}$$

Lluosi 2 a 2 i gael 4.

$$\sqrt{15}\times 4\sqrt{5}\sqrt{6}$$

Ffactora 15=5\times 3. Ailysgrifennu ail isradd y lluoswm \sqrt{5\times 3} fel lluoswm ail israddau \sqrt{5}\sqrt{3}.

$$\sqrt{5}\sqrt{3}\times 4\sqrt{5}\sqrt{6}$$

Lluosi \sqrt{5} a \sqrt{5} i gael 5.

$$5\times 4\sqrt{3}\sqrt{6}$$

Ffactora 6=3\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{3\times 2} fel lluoswm ail israddau \sqrt{3}\sqrt{2}.

$$5\times 4\sqrt{3}\sqrt{3}\sqrt{2}$$

Lluosi \sqrt{3} a \sqrt{3} i gael 3.

$$5\times 4\times 3\sqrt{2}$$

Lluosi 5 a 4 i gael 20.

$$20\times 3\sqrt{2}$$

Lluosi 20 a 3 i gael 60.

$$60\sqrt{2}$$