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\sqrt{\frac{1}{32}}
Whakahekea te hautanga \frac{2}{64} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.
\frac{\sqrt{1}}{\sqrt{32}}
Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{1}{32}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{1}}{\sqrt{32}}.
\frac{1}{\sqrt{32}}
Tātaitia te pūtakerua o 1 kia tae ki 1.
\frac{1}{4\sqrt{2}}
Tauwehea te 32=4^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{4^{2}\times 2} hei hua o ngā pūtake rua \sqrt{4^{2}}\sqrt{2}. Tuhia te pūtakerua o te 4^{2}.
\frac{\sqrt{2}}{4\left(\sqrt{2}\right)^{2}}
Whakangāwaritia te tauraro o \frac{1}{4\sqrt{2}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{2}.
\frac{\sqrt{2}}{4\times 2}
Ko te pūrua o \sqrt{2} ko 2.
\frac{\sqrt{2}}{8}
Whakareatia te 4 ki te 2, ka 8.