1.94 If $N=\frac{\sqrt{\sqrt{5}+2}+\sqrt{\sqrt{5}-2}}{\sqrt{\sqrt{5}+1}}-\sqrt{3-2 \sqrt{2}}$, then the value of $N$ is
(A) 1.
(B) $2 \sqrt{2}-1$.
(C) $\frac{\sqrt{5}}{2}$.
(D) $\sqrt{\frac{5}{2}}$.
(E) None of these.
(27th American High School Mathematics Examination, 1976)
[Solution] Consider the algebraic expression
$$
\begin{aligned}
& \left(\frac{\sqrt{\sqrt{5}+2}+\sqrt{\sqrt{5}-2}}{\sqrt{\sqrt{5}+1}}\right)^{2} \\
= & \frac{\sqrt{5}+2+2 \sqrt{5-4}+\sqrt{5}-2}{\sqrt{5}+1} \\
= & 2 .
\end{aligned}
$$

Also, $3-2 \sqrt{2}=2-2 \sqrt{2}+1=(\sqrt{2}-1)^{2}$,
then
$$
N=\sqrt{2}-(\sqrt{2}-1)=1 \text {. }
$$

Therefore, the answer is $(A)$.