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\sqrt{1-\frac{1446}{1040000}\times 0.2343}
Whakarohaina te \frac{0.1446}{104} mā te whakarea i te taurunga me te tauraro ki te 10000.
\sqrt{1-\frac{723}{520000}\times 0.2343}
Whakahekea te hautanga \frac{1446}{1040000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.
\sqrt{1-\frac{723}{520000}\times \frac{2343}{10000}}
Me tahuri ki tau ā-ira 0.2343 ki te hautau \frac{2343}{10000}.
\sqrt{1-\frac{723\times 2343}{520000\times 10000}}
Me whakarea te \frac{723}{520000} ki te \frac{2343}{10000} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.
\sqrt{1-\frac{1693989}{5200000000}}
Mahia ngā whakarea i roto i te hautanga \frac{723\times 2343}{520000\times 10000}.
\sqrt{\frac{5200000000}{5200000000}-\frac{1693989}{5200000000}}
Me tahuri te 1 ki te hautau \frac{5200000000}{5200000000}.
\sqrt{\frac{5200000000-1693989}{5200000000}}
Tā te mea he rite te tauraro o \frac{5200000000}{5200000000} me \frac{1693989}{5200000000}, me tango rāua mā te tango i ō raua taurunga.
\sqrt{\frac{5198306011}{5200000000}}
Tangohia te 1693989 i te 5200000000, ka 5198306011.
\frac{\sqrt{5198306011}}{\sqrt{5200000000}}
Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{5198306011}{5200000000}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{5198306011}}{\sqrt{5200000000}}.
\frac{\sqrt{5198306011}}{20000\sqrt{13}}
Tauwehea te 5200000000=20000^{2}\times 13. Tuhia anō te pūtake rua o te hua \sqrt{20000^{2}\times 13} hei hua o ngā pūtake rua \sqrt{20000^{2}}\sqrt{13}. Tuhia te pūtakerua o te 20000^{2}.
\frac{\sqrt{5198306011}\sqrt{13}}{20000\left(\sqrt{13}\right)^{2}}
Whakangāwaritia te tauraro o \frac{\sqrt{5198306011}}{20000\sqrt{13}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{13}.
\frac{\sqrt{5198306011}\sqrt{13}}{20000\times 13}
Ko te pūrua o \sqrt{13} ko 13.
\frac{\sqrt{67577978143}}{20000\times 13}
Hei whakarea \sqrt{5198306011} me \sqrt{13}, whakareatia ngā tau i raro i te pūtake rua.
\frac{\sqrt{67577978143}}{260000}
Whakareatia te 20000 ki te 13, ka 260000.