I am asked the following question:
a1=sqrt(1 + sqrt 1)
a2=sqrt (1+ sqrt 1 + sqrt 1)
a3=sqrt (1+ sqrt 1 + sqrt 1 + sqrt 1)
etc.

now consider the general infinite surd sqrt(k + sqrt k + sqrt k) where the first term is sqrt (k + sqrt k). Find an expression for the exact value of this general infinite surd in terms of k. (How DO I FIND EXACT VALUE? )

Find some values of k that make the expression an integer. Find the general statement that represents all the values of k for which the expression is an integer. (HOW DO I FIND THE GENERAL STATEMENT? )

Test the validity of your general statement using other values of k.
discuss the scope and or limitations of your general statement.
Explain how you arrived at your general statement.

ANY HELP is appreciated!
thankss!

Why are you reposting this?

See here:

https://www.askmehelpdesk.com/mathem...ic-430451.html

Whattttt?
Thank is soooooo complicating! I need a simpler form.

Please don't tell me you're looking at my silly signature with the nablas and all?