Aromātai
5\left(\sqrt{3}-\sqrt{2}\right)\approx 1.589186226
Tohaina
Kua tāruatia ki te papatopenga
\frac{5\left(\sqrt{2}-\sqrt{3}\right)}{\left(\sqrt{2}+\sqrt{3}\right)\left(\sqrt{2}-\sqrt{3}\right)}
Whakangāwaritia te tauraro o \frac{5}{\sqrt{2}+\sqrt{3}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{2}-\sqrt{3}.
\frac{5\left(\sqrt{2}-\sqrt{3}\right)}{\left(\sqrt{2}\right)^{2}-\left(\sqrt{3}\right)^{2}}
Whakaarohia te \left(\sqrt{2}+\sqrt{3}\right)\left(\sqrt{2}-\sqrt{3}\right). Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
\frac{5\left(\sqrt{2}-\sqrt{3}\right)}{2-3}
Pūrua \sqrt{2}. Pūrua \sqrt{3}.
\frac{5\left(\sqrt{2}-\sqrt{3}\right)}{-1}
Tangohia te 3 i te 2, ka -1.
-5\left(\sqrt{2}-\sqrt{3}\right)
Ko te mea whakawehea ki te -1 ka hōmai i tōna kōaro.
-5\sqrt{2}+5\sqrt{3}
Whakamahia te āhuatanga tohatoha hei whakarea te -5 ki te \sqrt{2}-\sqrt{3}.
Ngā Tauira
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{ x } ^ { 2 } - 4 x - 5 = 0
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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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Whakarerekētanga
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