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\frac{2\sqrt{2}}{\left(\sqrt{2}\right)^{2}}-\sqrt{8}
Whakangāwaritia te tauraro o \frac{2}{\sqrt{2}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{2}.
\frac{2\sqrt{2}}{2}-\sqrt{8}
Ko te pūrua o \sqrt{2} ko 2.
\sqrt{2}-\sqrt{8}
Me whakakore te 2 me te 2.
\sqrt{2}-2\sqrt{2}
Tauwehea te 8=2^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 2} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{2}. Tuhia te pūtakerua o te 2^{2}.
-\sqrt{2}
Pahekotia te \sqrt{2} me -2\sqrt{2}, ka -\sqrt{2}.