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12\sqrt{\frac{1}{2}}
Tātaitia te pūtakerua o 144 kia tae ki 12.
12\times \frac{\sqrt{1}}{\sqrt{2}}
Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{1}{2}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{1}}{\sqrt{2}}.
12\times \frac{1}{\sqrt{2}}
Tātaitia te pūtakerua o 1 kia tae ki 1.
12\times \frac{\sqrt{2}}{\left(\sqrt{2}\right)^{2}}
Whakangāwaritia te tauraro o \frac{1}{\sqrt{2}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{2}.
12\times \frac{\sqrt{2}}{2}
Ko te pūrua o \sqrt{2} ko 2.
6\sqrt{2}
Whakakorea atu te tauwehe pūnoa nui rawa 2 i roto i te 12 me te 2.