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Question Number 174755 by mnjuly1970 last updated on 10/Aug/22

Commented by kaivan.ahmadi last updated on 11/Aug/22

$$I\subseteq \sqrt{I},J\subseteq \sqrt{J}\Rightarrow I+J\subseteq \sqrt{I}+\sqrt{J}$$$$\Rightarrow \sqrt{I+J}\subseteq \sqrt{\sqrt{I}+\sqrt{J}}$$$$ontheotherhand$$$$\sqrt{I}+\sqrt{J}\subseteq \sqrt{I+J}\Rightarrow \sqrt{\sqrt{I}+\sqrt{J}}\subseteq$$$$\sqrt{\sqrt{I+J}}=\sqrt{I+J}$$$$◼$$$$$$$$$$

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