The permissibility of praying namaz without washing your hair depends on the circumstances requiring ghusl (ritual purification). If ghusl is obligatory (e.g., after sexual intercourse or menstruation), you must wash your entire body, including your hair, for the prayer to be valid.
Here's a breakdown:
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When Ghusl is Required: Certain conditions necessitate ghusl before prayer. These include:
- Sexual intercourse
- Ejaculation
- Completion of menstruation (period)
- Post-partum bleeding
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Requirements of Ghusl: Ghusl requires washing the entire body so that no part remains dry. This absolutely includes the hair. The water must reach the roots of the hair.
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If Ghusl is Required and Hair is Not Washed: If ghusl is obligatory and you perform it without washing your hair so that water reaches the scalp, then ghusl is invalid. Therefore, the prayer performed after such a ghusl is also invalid and must be repeated.
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When Ghusl is Not Required: If you are in a state of minor impurity (needing wudu) and simply want to refresh yourself, washing your hair is not required before praying namaz. You only need to perform wudu, which includes washing specific body parts (face, hands, arms, head, and feet).
In summary, if you are in a state of major ritual impurity requiring ghusl, you must wash your hair thoroughly for your ghusl, and consequently, your prayer, to be valid.