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a=\frac{1}{2}\left(\left(\sqrt{7}\right)^{2}+2\sqrt{7}+1\right)
Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(\sqrt{7}+1\right)^{2}.
a=\frac{1}{2}\left(7+2\sqrt{7}+1\right)
Ko te pūrua o \sqrt{7} ko 7.
a=\frac{1}{2}\left(8+2\sqrt{7}\right)
Tāpirihia te 7 ki te 1, ka 8.
a=4+\sqrt{7}
Whakamahia te āhuatanga tohatoha hei whakarea te \frac{1}{2} ki te 8+2\sqrt{7}.