Prove that the following are equivalent to each other for any ideal I of a commutative ring R. 1. I = √I 2. I = √√J for some

Question

Prove that the following are equivalent to each other for any ideal I of a commutative ring R.
1. I = √I
2. I = √√J for some ideal J of R.
3. I is the intersection of a class of prime ideals of R.

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