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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

\left(\sqrt{2}\right)^{2}+4\sqrt{2}\sqrt{5}+4\left(\sqrt{5}\right)^{2}
Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(\sqrt{2}+2\sqrt{5}\right)^{2}.
2+4\sqrt{2}\sqrt{5}+4\left(\sqrt{5}\right)^{2}
Ko te pūrua o \sqrt{2} ko 2.
2+4\sqrt{10}+4\left(\sqrt{5}\right)^{2}
Hei whakarea \sqrt{2} me \sqrt{5}, whakareatia ngā tau i raro i te pūtake rua.
2+4\sqrt{10}+4\times 5
Ko te pūrua o \sqrt{5} ko 5.
2+4\sqrt{10}+20
Whakareatia te 4 ki te 5, ka 20.
22+4\sqrt{10}
Tāpirihia te 2 ki te 20, ka 22.
\left(\sqrt{2}\right)^{2}+4\sqrt{2}\sqrt{5}+4\left(\sqrt{5}\right)^{2}
Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(\sqrt{2}+2\sqrt{5}\right)^{2}.
2+4\sqrt{2}\sqrt{5}+4\left(\sqrt{5}\right)^{2}
Ko te pūrua o \sqrt{2} ko 2.
2+4\sqrt{10}+4\left(\sqrt{5}\right)^{2}
Hei whakarea \sqrt{2} me \sqrt{5}, whakareatia ngā tau i raro i te pūtake rua.
2+4\sqrt{10}+4\times 5
Ko te pūrua o \sqrt{5} ko 5.
2+4\sqrt{10}+20
Whakareatia te 4 ki te 5, ka 20.
22+4\sqrt{10}
Tāpirihia te 2 ki te 20, ka 22.