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\frac{\left(886731088897-627013566048\sqrt{2}\right)\left(886731088897-627013566048\sqrt{2}\right)}{\left(886731088897+627013566048\sqrt{2}\right)\left(886731088897-627013566048\sqrt{2}\right)}
Whakangāwaritia te tauraro o \frac{886731088897-627013566048\sqrt{2}}{886731088897+627013566048\sqrt{2}} mā te whakarea i te taurunga me te tauraro ki te 886731088897-627013566048\sqrt{2}.
\frac{\left(886731088897-627013566048\sqrt{2}\right)\left(886731088897-627013566048\sqrt{2}\right)}{886731088897^{2}-\left(627013566048\sqrt{2}\right)^{2}}
Whakaarohia te \left(886731088897+627013566048\sqrt{2}\right)\left(886731088897-627013566048\sqrt{2}\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{\left(886731088897-627013566048\sqrt{2}\right)^{2}}{886731088897^{2}-\left(627013566048\sqrt{2}\right)^{2}}
Whakareatia te 886731088897-627013566048\sqrt{2} ki te 886731088897-627013566048\sqrt{2}, ka \left(886731088897-627013566048\sqrt{2}\right)^{2}.
\frac{786292024016459316676609-1111984844349868137938112\sqrt{2}+393146012008229658338304\left(\sqrt{2}\right)^{2}}{886731088897^{2}-\left(627013566048\sqrt{2}\right)^{2}}
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(886731088897-627013566048\sqrt{2}\right)^{2}.
\frac{786292024016459316676609-1111984844349868137938112\sqrt{2}+393146012008229658338304\times 2}{886731088897^{2}-\left(627013566048\sqrt{2}\right)^{2}}
Ko te pūrua o \sqrt{2} ko 2.
\frac{786292024016459316676609-1111984844349868137938112\sqrt{2}+786292024016459316676608}{886731088897^{2}-\left(627013566048\sqrt{2}\right)^{2}}
Whakareatia te 393146012008229658338304 ki te 2, ka 786292024016459316676608.
\frac{1572584048032918633353217-1111984844349868137938112\sqrt{2}}{886731088897^{2}-\left(627013566048\sqrt{2}\right)^{2}}
Tāpirihia te 786292024016459316676609 ki te 786292024016459316676608, ka 1572584048032918633353217.
\frac{1572584048032918633353217-1111984844349868137938112\sqrt{2}}{786292024016459316676609-\left(627013566048\sqrt{2}\right)^{2}}
Tātaihia te 886731088897 mā te pū o 2, kia riro ko 786292024016459316676609.
\frac{1572584048032918633353217-1111984844349868137938112\sqrt{2}}{786292024016459316676609-627013566048^{2}\left(\sqrt{2}\right)^{2}}
Whakarohaina te \left(627013566048\sqrt{2}\right)^{2}.
\frac{1572584048032918633353217-1111984844349868137938112\sqrt{2}}{786292024016459316676609-393146012008229658338304\left(\sqrt{2}\right)^{2}}
Tātaihia te 627013566048 mā te pū o 2, kia riro ko 393146012008229658338304.
\frac{1572584048032918633353217-1111984844349868137938112\sqrt{2}}{786292024016459316676609-393146012008229658338304\times 2}
Ko te pūrua o \sqrt{2} ko 2.
\frac{1572584048032918633353217-1111984844349868137938112\sqrt{2}}{786292024016459316676609-786292024016459316676608}
Whakareatia te 393146012008229658338304 ki te 2, ka 786292024016459316676608.
\frac{1572584048032918633353217-1111984844349868137938112\sqrt{2}}{1}
Tangohia te 786292024016459316676608 i te 786292024016459316676609, ka 1.
1572584048032918633353217-1111984844349868137938112\sqrt{2}
Ka whakawehea he tau ki te tahi, hua ai ko ia anō.