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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

9\left(\sqrt{5}\right)^{2}-6\sqrt{5}\sqrt{2}+\left(\sqrt{2}\right)^{2}
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(3\sqrt{5}-\sqrt{2}\right)^{2}.
9\times 5-6\sqrt{5}\sqrt{2}+\left(\sqrt{2}\right)^{2}
Ko te pūrua o \sqrt{5} ko 5.
45-6\sqrt{5}\sqrt{2}+\left(\sqrt{2}\right)^{2}
Whakareatia te 9 ki te 5, ka 45.
45-6\sqrt{10}+\left(\sqrt{2}\right)^{2}
Hei whakarea \sqrt{5} me \sqrt{2}, whakareatia ngā tau i raro i te pūtake rua.
45-6\sqrt{10}+2
Ko te pūrua o \sqrt{2} ko 2.
47-6\sqrt{10}
Tāpirihia te 45 ki te 2, ka 47.
9\left(\sqrt{5}\right)^{2}-6\sqrt{5}\sqrt{2}+\left(\sqrt{2}\right)^{2}
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(3\sqrt{5}-\sqrt{2}\right)^{2}.
9\times 5-6\sqrt{5}\sqrt{2}+\left(\sqrt{2}\right)^{2}
Ko te pūrua o \sqrt{5} ko 5.
45-6\sqrt{5}\sqrt{2}+\left(\sqrt{2}\right)^{2}
Whakareatia te 9 ki te 5, ka 45.
45-6\sqrt{10}+\left(\sqrt{2}\right)^{2}
Hei whakarea \sqrt{5} me \sqrt{2}, whakareatia ngā tau i raro i te pūtake rua.
45-6\sqrt{10}+2
Ko te pūrua o \sqrt{2} ko 2.
47-6\sqrt{10}
Tāpirihia te 45 ki te 2, ka 47.