This isn't possible. See the FAQ page on the Wiki:
http://wiki.recaptcha.net/index.php/FAQ#Can_I_use_reCAPTCHA_in_static_HTML_files.3F
"Not if all you have are static HTML files - you require a server-side
scripting language to verify the reCAPTCHA after it has been submitted
by your users. This verification cannot be done in static HTML using
Javascript or any other client-side language.
If you want reCAPTCHA you require either knowledge of a server-side
language or a web application (examples of both may be found at
http://recaptcha.net/resources.html,) and a hosting provider that will
allow you to use it."
Colin
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