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\frac{\sqrt{10001}+10}{\left(\sqrt{10001}-10\right)\left(\sqrt{10001}+10\right)}
Whakangāwaritia te tauraro o \frac{1}{\sqrt{10001}-10} mā te whakarea i te taurunga me te tauraro ki te \sqrt{10001}+10.
\frac{\sqrt{10001}+10}{\left(\sqrt{10001}\right)^{2}-10^{2}}
Whakaarohia te \left(\sqrt{10001}-10\right)\left(\sqrt{10001}+10\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{\sqrt{10001}+10}{10001-100}
Pūrua \sqrt{10001}. Pūrua 10.
\frac{\sqrt{10001}+10}{9901}
Tangohia te 100 i te 10001, ka 9901.