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If \(a=\frac{1}{\sqrt{2}+\frac{1}{\sqrt{2}+\frac{1}{\sqrt{2}+...}}}\) , and \(b=\frac{1}{\sqrt{3}+\frac{1}{\sqrt{3}+\frac{1}{\sqrt{3}+...}}}\) , what is a^2+ \(\sqrt{2}\) a+b^2- \(\sqrt{3}\) b?
A. 0
B. 1
C. 2
D. 3
E.4
If \(a=\frac{1}{\sqrt{2}+\frac{1}{\sqrt{2}+\frac{1}{\sqrt{2}+...}}}\) , and \(b=\frac{1}{\sqrt{3}+\frac{1}{\sqrt{3}+\frac{1}{\sqrt{3}+...}}}\) , what is a^2+ \(\sqrt{2}\) a+b^2- \(\sqrt{3}\) b?
A. 0
B. 1
C. 2
D. 3
E.4
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