If H be a subgroup of G, such that x^2€H all x€G, Prove that H is Normal in G|Group Theory

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A subgroup H of a group G is a normal subgroup of G if and only if ghg^-1 ∈ H ∀ g∈G and h∈H. A subgroup H of a group G is a normal subgroup of G if and only if ghg^-1 ∈ H ∀ g∈G and h∈H.
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