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If a=12+12+12+…, and b=13-13-13-…, what is a2+2a+b2-3b?

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by Max@Math Revolution » Wed May 13, 2020 2:25 am

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[GMAT math practice question]

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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