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\[\sqrt{2 + \sqrt{2 + \sqrt{2 + \sqrt{2 + \sqrt{2}}}}}\]I'm trying to do this problem.

unless I have mis understood your question?

Actually, I'd just want to know how to denest \(\sqrt{2 + \sqrt2}\)

which should end up being just a quadratic in \(x^2\)

@asnaseer But that again brings up a nested radical.

I'm not sure what exactly you mean by "denest" here?

Well, a radical expression containing another radical expression.

btw: you have a small sign error in your calculation above

Oh, that was supposed to be a +... not -.

are you trying to simply \(\sqrt{2+\sqrt{2}}\) further?

A second please.

Yeah, I want to remove the inner radical.

why?

so you are trying to express this as:\[\sqrt{2+\sqrt{2}}=a\sqrt{b}\]and what to find a and b?

Yeah, I want this in the form \(a + b\sqrt n \), not \(\sqrt{a + b\sqrt n }\)

answer = 1

sorry ..

Is 1 correct?

Of course, NOT!

WELL:\[\sqrt{2+\sqrt{2}} \] cannot be expressed in the forms |dw:1348223973261:dw|

Thank God! I was so confused.

But I think it can be expressed in some form like|dw:1348224135337:dw|