inexpugnable

/ˌɪnɪkˈspʌɡnəbəl/
adjective
  1. Impossible to defeat, overcome, or capture; unconquerable.
    • The general believed his position was inexpugnable, but the enemy found a way around.
    • Her inexpugnable optimism helped the team through the worst of the crisis.
    • The fortress was considered inexpugnable, with walls twenty feet thick.
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