Radical inside of a radical? sqrt[10 (2 - sqrt[5])]

[Not a Mathematician]

I know how to simplify radical expressions for the most part, but then they threw in a radical inside the radical and frankly i have no idea what to do. I'm supposed to simplify this expression:

. . .sqrt[10 (2 - sqrt[5])]

Can you explain to me how to simplify these kinds of problems?

 

[soroban]

Re: Radical inside of a radical?

Hello, Not a Mathematician!

Simplify: \(\displaystyle \L\:\sqrt{10(2\,-\,\sqrt{5})}\)

Are you working with Complex Numbers?

If not, there must be a typo ... because \(\displaystyle 2\,-\,sqrt{5}\) is negative.