why does maxima not do this obvious simplification?

• Subject: why does maxima not do this obvious simplification?
• From: Thomas Plehn
• Date: Sun, 24 Jan 2010 19:25:48 +0100

%i*sqrt(sqrt(b^2+a^2)-a)*sqrt(sqrt(b^2+a^2)+a)+a

!
=  a + b*%i

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