|Ādi-līlā||Chapter 4: The Confidential Reasons for the Appearance of Śrī Caitanya Mahāprabhu|
Bhaktivedanta VedaBase: Śrī Caitanya Caritāmṛta Ādi 4.87
kṛṣṇa-vāñchā-pūrti-rūpa kare ārādhane
ataeva 'rādhikā' nāma purāṇe vākhāne
kṛṣṇa-vāñchā — of the desire of Lord Kṛṣṇa; pūrti-rūpa — of the nature of fulfillment; kare — does; ārādhane — worship; ataeva — therefore; rādhikā — Śrīmatī Rādhikā; nāma — named; purāṇe — in the Purāṇas; vākhāne — in the description.
Her worship [ārādhana] consists of fulfilling the desires of Lord Kṛṣṇa. Therefore the Purāṇas call Her Rādhikā.
The name "Rādhā" is derived from the root word ārādhana, which means "worship." The personality who excels all in worshiping Kṛṣṇa may therefore be called Rādhikā, the greatest servitor.
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His Divine Grace A. C. Bhaktivedanta Swami Prabhupāda, Founder Ācārya of the International Society for Krishna Consciousness