Datrys sqrt{15}(sqrt{3}-sqrt{5}+sqrt{6})

$$\sqrt { 15 } ( \sqrt { 3 } - \sqrt { 5 } + \sqrt { 6 } )$$

Enrhifo

$$3\sqrt{5}+3\sqrt{10}-5\sqrt{3}\approx 7.534782875$$

Camau Ateb

Defnyddio’r briodwedd ddosbarthu i luosi \sqrt{15} â \sqrt{3}-\sqrt{5}+\sqrt{6}.

$$\sqrt{15}\sqrt{3}-\sqrt{15}\sqrt{5}+\sqrt{15}\sqrt{6}$$

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

$$\sqrt{3}\sqrt{5}\sqrt{3}-\sqrt{15}\sqrt{5}+\sqrt{15}\sqrt{6}$$

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

$$3\sqrt{5}-\sqrt{15}\sqrt{5}+\sqrt{15}\sqrt{6}$$

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

$$3\sqrt{5}-\sqrt{5}\sqrt{3}\sqrt{5}+\sqrt{15}\sqrt{6}$$

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

$$3\sqrt{5}-5\sqrt{3}+\sqrt{15}\sqrt{6}$$

I luosi \sqrt{15} a \sqrt{6}, dylid lluosi'r rhifau dan yr ail isradd.

$$3\sqrt{5}-5\sqrt{3}+\sqrt{90}$$

Ffactora 90=3^{2}\times 10. Ailysgrifennu ail isradd y lluoswm \sqrt{3^{2}\times 10} fel lluoswm ail israddau \sqrt{3^{2}}\sqrt{10}. Cymryd isradd 3^{2}.

$$3\sqrt{5}-5\sqrt{3}+3\sqrt{10}$$