Enrhifo
3\left(\sqrt{5}-\sqrt{3}\right)\approx 1.51205151
Rhannu
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\frac{1+5}{\sqrt{3}+\sqrt{5}}
Cyfrifo ail isradd 25 a chael 5.
\frac{6}{\sqrt{3}+\sqrt{5}}
Adio 1 a 5 i gael 6.
\frac{6\left(\sqrt{3}-\sqrt{5}\right)}{\left(\sqrt{3}+\sqrt{5}\right)\left(\sqrt{3}-\sqrt{5}\right)}
Mae'n rhesymoli enwadur \frac{6}{\sqrt{3}+\sqrt{5}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{3}-\sqrt{5}.
\frac{6\left(\sqrt{3}-\sqrt{5}\right)}{\left(\sqrt{3}\right)^{2}-\left(\sqrt{5}\right)^{2}}
Ystyriwch \left(\sqrt{3}+\sqrt{5}\right)\left(\sqrt{3}-\sqrt{5}\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{6\left(\sqrt{3}-\sqrt{5}\right)}{3-5}
Sgwâr \sqrt{3}. Sgwâr \sqrt{5}.
\frac{6\left(\sqrt{3}-\sqrt{5}\right)}{-2}
Tynnu 5 o 3 i gael -2.
-3\left(\sqrt{3}-\sqrt{5}\right)
Rhannu 6\left(\sqrt{3}-\sqrt{5}\right) â -2 i gael -3\left(\sqrt{3}-\sqrt{5}\right).
-3\sqrt{3}+3\sqrt{5}
Defnyddio’r briodwedd ddosbarthu i luosi -3 â \sqrt{3}-\sqrt{5}.
Enghreifftiau
Hafaliad cwadratig
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometreg
4 \sin \theta \cos \theta = 2 \sin \theta
Hafaliad llinol
y = 3x + 4
Rhifyddeg
699 * 533
Matrics
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Hafaliad ar y pryd
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Gwahaniaethu
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integreiddiad
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Terfynau
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}