\frac{ 3- \sqrt{ 2 } }{ (1- \sqrt{ 5 } }
Enrhifo
\frac{\sqrt{2}+\sqrt{10}-3\sqrt{5}-3}{4}\approx -1.282928177
Rhannu
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\frac{\left(3-\sqrt{2}\right)\left(1+\sqrt{5}\right)}{\left(1-\sqrt{5}\right)\left(1+\sqrt{5}\right)}
Mae'n rhesymoli enwadur \frac{3-\sqrt{2}}{1-\sqrt{5}} drwy luosi'r rhifiadur a'r enwadur â 1+\sqrt{5}.
\frac{\left(3-\sqrt{2}\right)\left(1+\sqrt{5}\right)}{1^{2}-\left(\sqrt{5}\right)^{2}}
Ystyriwch \left(1-\sqrt{5}\right)\left(1+\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{\left(3-\sqrt{2}\right)\left(1+\sqrt{5}\right)}{1-5}
Sgwâr 1. Sgwâr \sqrt{5}.
\frac{\left(3-\sqrt{2}\right)\left(1+\sqrt{5}\right)}{-4}
Tynnu 5 o 1 i gael -4.
\frac{3+3\sqrt{5}-\sqrt{2}-\sqrt{2}\sqrt{5}}{-4}
Cyfrifwch y briodoledd ddosrannol drwy luosi pob 3-\sqrt{2} gan bob 1+\sqrt{5}.
\frac{3+3\sqrt{5}-\sqrt{2}-\sqrt{10}}{-4}
I luosi \sqrt{2} a \sqrt{5}, dylid lluosi'r rhifau dan yr ail isradd.
\frac{-3-3\sqrt{5}+\sqrt{2}+\sqrt{10}}{4}
Lluosi'r rhifiadur a’r enwadur â -1.
Enghreifftiau
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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699 * 533
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\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]
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\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Terfynau
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}