1976 AHSME Problems/Problem 27

Revision as of 23:49, 7 September 2021 by MRENTHUSIASM (talk | contribs) (Centered the important equation: https://files.eric.ed.gov/fulltext/ED239856.pdf Also, I am thinking of making the solution clearer using algebra.)

Problem

If \[N=\frac{\sqrt{\sqrt{5}+2}+\sqrt{\sqrt{5}-2}}{\sqrt{\sqrt{5}+1}}-\sqrt{3-2\sqrt{2}},\] then $N$ equals

$\textbf{(A) }1\qquad \textbf{(B) }2\sqrt{2}-1\qquad \textbf{(C) }\frac{\sqrt{5}}{2}\qquad \textbf{(D) }\sqrt{\frac{5}{2}}\qquad \textbf{(E) }\text{none of these}$

Solution

~Someonenumber011 (Solution)

~MRENTHUSIASM (Revision)

See also

1976 AHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 26
Followed by
Problem 28
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