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\frac{6\left(\sqrt{7}-2\right)}{\left(\sqrt{7}+2\right)\left(\sqrt{7}-2\right)}
Whakangāwaritia te tauraro o \frac{6}{\sqrt{7}+2} mā te whakarea i te taurunga me te tauraro ki te \sqrt{7}-2.
\frac{6\left(\sqrt{7}-2\right)}{\left(\sqrt{7}\right)^{2}-2^{2}}
Whakaarohia te \left(\sqrt{7}+2\right)\left(\sqrt{7}-2\right). Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
\frac{6\left(\sqrt{7}-2\right)}{7-4}
Pūrua \sqrt{7}. Pūrua 2.
\frac{6\left(\sqrt{7}-2\right)}{3}
Tangohia te 4 i te 7, ka 3.
2\left(\sqrt{7}-2\right)
Whakawehea te 6\left(\sqrt{7}-2\right) ki te 3, kia riro ko 2\left(\sqrt{7}-2\right).
2\sqrt{7}-4
Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te \sqrt{7}-2.