Enrhifo
3\left(\sqrt{5}+3\right)\approx 15.708203932
Rhannu
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\frac{12\left(3+\sqrt{5}\right)}{\left(3-\sqrt{5}\right)\left(3+\sqrt{5}\right)}
Mae'n rhesymoli enwadur \frac{12}{3-\sqrt{5}} drwy luosi'r rhifiadur a'r enwadur â 3+\sqrt{5}.
\frac{12\left(3+\sqrt{5}\right)}{3^{2}-\left(\sqrt{5}\right)^{2}}
Ystyriwch \left(3-\sqrt{5}\right)\left(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{12\left(3+\sqrt{5}\right)}{9-5}
Sgwâr 3. Sgwâr \sqrt{5}.
\frac{12\left(3+\sqrt{5}\right)}{4}
Tynnu 5 o 9 i gael 4.
3\left(3+\sqrt{5}\right)
Rhannu 12\left(3+\sqrt{5}\right) â 4 i gael 3\left(3+\sqrt{5}\right).
9+3\sqrt{5}
Defnyddio’r briodwedd ddosbarthu i luosi 3 â 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}