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Rationalizing the denominator

• To: mathgroup at smc.vnet.net
• Subject: [mg18633] Rationalizing the denominator
• From: "Drago Ganic" <drago.ganic at in2.hr>
• Date: Tue, 13 Jul 1999 01:01:44 -0400
• Organization: HiNet
• Sender: owner-wri-mathgroup at wolfram.com

How can I get

    Sqrt[2]/2

instead of

    1/Sqrt[2]

as a result for Sin[Pi/4].

When it comes to complex numbers Mathematica never returns 1/I - she always
returns -I.
Why is the behaviour for irrationals different ?