An ideal I in a commutative ring R is defined by sqrt(I) = {a in R | a^n in I for some natural number n}. Show that sqrt(sqrt(I)) = sqrt(I). Help, please!

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- Apr 21st 2013, 02:41 PMlovesmathIdeals
An ideal I in a commutative ring R is defined by sqrt(I) = {a in R | a^n in I for some natural number n}. Show that sqrt(sqrt(I)) = sqrt(I). Help, please!

- Apr 21st 2013, 06:06 PMlovesmathRe: Ideals
Never mind!