William Stein <wst...@gmail.com> writes:

>> expr=1/(1+3^(1/2)+5^(1/4)+7^(1/6)+9^(1/8))
>
> Fortunately, the above is much diferent than what Simon King wrote,
> since you have numbers instead of a variable x.

If you don't have numbers you can do it using FriCAS, which is optional
in sage:

sage: fricas("ratDenom(1/(1+3^(1/2)+5^(1/4)+7^(1/6)))")
sage: fricas("ratDenom(1/(1+a^(1/2)+b^(1/3)))")

Martin

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