If you mean if it’s OK to make wudhu while being naked, this is permissible.

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It is recommended to do miswak after wudhu and before praying.

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What counts is the wudhu after Fajr! If The second time you put on your socks you were in the state of wudhu from fajr, this is sufficient and you can wipe. If not, due to answering the call of nature while having ghusul or before that, you can’t wipe on your socks.

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There is no dua for making wudhu; you only say “Bismillah” before you start. If there is a toilet in the washing area, you have to say it in your mind, without making sound or moving your lips. As for the Duaa afterwards, you should say it outside.

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