An important idea when solving questions with infinite nested radicals.

If

Then we can rewrite the equation as

As it is as infinite succession, we are allowed to 'cut' the expression anywhere convenient and let it be equal to the L.H.S.

Example (from Pi in the Sky: Issue 11)

. Find

Answer

With this technique, you could solve your question now, I'll give another example then move on to your question.

In general, if

Then

And

Now to your question

Then using our technique, we convert to

The real roots are and .

Don't hesitate to ask anymore questions.

God bless your mathematical endeavours.