# Math Help - Ideal Radicals Question

1. ## Ideal Radicals Question

Hello experts,

Given that there is a commutative ring R and 2 ideals I and J, also given that I is included in J

I need to prove
1) radical of I is in radical of J
2) radical of radical of ideal I = radical of ideal I.

Please give me a detailed answer, I need it urgently!!!!

$I\subset \textrm{rad}(I)$