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2\sqrt{6}\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}}.
2\sqrt{6}\times \frac{1}{\sqrt{2}}
Tātaitia te pūtakerua o 1 kia tae ki 1.
2\sqrt{6}\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}.
2\sqrt{6}\times \frac{\sqrt{2}}{2}
Ko te pūrua o \sqrt{2} ko 2.
\sqrt{2}\sqrt{6}
Me whakakore te 2 me te 2.
\sqrt{2}\sqrt{2}\sqrt{3}
Tauwehea te 6=2\times 3. Tuhia anō te pūtake rua o te hua \sqrt{2\times 3} hei hua o ngā pūtake rua \sqrt{2}\sqrt{3}.
2\sqrt{3}
Whakareatia te \sqrt{2} ki te \sqrt{2}, ka 2.