Enrhifo
\frac{\sqrt{5}\left(\sqrt{15}-3\right)}{2}\approx 0.976025053
Rhannu
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\frac{\sqrt{15}\left(\sqrt{5}-\sqrt{3}\right)}{\left(\sqrt{5}+\sqrt{3}\right)\left(\sqrt{5}-\sqrt{3}\right)}
Mae'n rhesymoli enwadur \frac{\sqrt{15}}{\sqrt{5}+\sqrt{3}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{5}-\sqrt{3}.
\frac{\sqrt{15}\left(\sqrt{5}-\sqrt{3}\right)}{\left(\sqrt{5}\right)^{2}-\left(\sqrt{3}\right)^{2}}
Ystyriwch \left(\sqrt{5}+\sqrt{3}\right)\left(\sqrt{5}-\sqrt{3}\right). Gellir trawsnewid lluosi yn wahaniaeth rhwng sgwariau drwy ddefnyddio’r rheol: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
\frac{\sqrt{15}\left(\sqrt{5}-\sqrt{3}\right)}{5-3}
Sgwâr \sqrt{5}. Sgwâr \sqrt{3}.
\frac{\sqrt{15}\left(\sqrt{5}-\sqrt{3}\right)}{2}
Tynnu 3 o 5 i gael 2.
\frac{\sqrt{15}\sqrt{5}-\sqrt{15}\sqrt{3}}{2}
Defnyddio’r briodwedd ddosbarthu i luosi \sqrt{15} â \sqrt{5}-\sqrt{3}.
\frac{\sqrt{5}\sqrt{3}\sqrt{5}-\sqrt{15}\sqrt{3}}{2}
Ffactora 15=5\times 3. Ailysgrifennu ail isradd y lluoswm \sqrt{5\times 3} fel lluoswm ail israddau \sqrt{5}\sqrt{3}.
\frac{5\sqrt{3}-\sqrt{15}\sqrt{3}}{2}
Lluosi \sqrt{5} a \sqrt{5} i gael 5.
\frac{5\sqrt{3}-\sqrt{3}\sqrt{5}\sqrt{3}}{2}
Ffactora 15=3\times 5. Ailysgrifennu ail isradd y lluoswm \sqrt{3\times 5} fel lluoswm ail israddau \sqrt{3}\sqrt{5}.
\frac{5\sqrt{3}-3\sqrt{5}}{2}
Lluosi \sqrt{3} a \sqrt{3} i gael 3.
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