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Whakaroha
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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

1-\left(9\left(\sqrt{5}\right)^{2}-6\sqrt{5}+1\right)
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(3\sqrt{5}-1\right)^{2}.
1-\left(9\times 5-6\sqrt{5}+1\right)
Ko te pūrua o \sqrt{5} ko 5.
1-\left(45-6\sqrt{5}+1\right)
Whakareatia te 9 ki te 5, ka 45.
1-\left(46-6\sqrt{5}\right)
Tāpirihia te 45 ki te 1, ka 46.
1-46+6\sqrt{5}
Hei kimi i te tauaro o 46-6\sqrt{5}, kimihia te tauaro o ia taurangi.
-45+6\sqrt{5}
Tangohia te 46 i te 1, ka -45.
1-\left(9\left(\sqrt{5}\right)^{2}-6\sqrt{5}+1\right)
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(3\sqrt{5}-1\right)^{2}.
1-\left(9\times 5-6\sqrt{5}+1\right)
Ko te pūrua o \sqrt{5} ko 5.
1-\left(45-6\sqrt{5}+1\right)
Whakareatia te 9 ki te 5, ka 45.
1-\left(46-6\sqrt{5}\right)
Tāpirihia te 45 ki te 1, ka 46.
1-46+6\sqrt{5}
Hei kimi i te tauaro o 46-6\sqrt{5}, kimihia te tauaro o ia taurangi.
-45+6\sqrt{5}
Tangohia te 46 i te 1, ka -45.