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Tohaina

\sqrt{\frac{400}{14}}
Whakareatia te 2 ki te 200, ka 400.
\sqrt{\frac{200}{7}}
Whakahekea te hautanga \frac{400}{14} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.
\frac{\sqrt{200}}{\sqrt{7}}
Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{200}{7}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{200}}{\sqrt{7}}.
\frac{10\sqrt{2}}{\sqrt{7}}
Tauwehea te 200=10^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{10^{2}\times 2} hei hua o ngā pūtake rua \sqrt{10^{2}}\sqrt{2}. Tuhia te pūtakerua o te 10^{2}.
\frac{10\sqrt{2}\sqrt{7}}{\left(\sqrt{7}\right)^{2}}
Whakangāwaritia te tauraro o \frac{10\sqrt{2}}{\sqrt{7}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{7}.
\frac{10\sqrt{2}\sqrt{7}}{7}
Ko te pūrua o \sqrt{7} ko 7.
\frac{10\sqrt{14}}{7}
Hei whakarea \sqrt{2} me \sqrt{7}, whakareatia ngā tau i raro i te pūtake rua.