Caitanya-caritāmṛta 4.87
kṛṣṇa-vāñchā-pūrti-rūpa kare ārādhane ataeva ‘rādhikā’ nāma purāṇe vākhāne
[krishna-vaanchaa-poorti-roopa kare aaraadhane ataeva ‘raadhikaa’ naama puraane vaakhaane]
Blended reading (Sanskrit + English inline)
kṛṣṇa-vāñchā-pūrti-rūpa kare ārādhane ataeva ‘rādhikā’ nāma purāṇe vākhāne
Her worship [ārādhana] consists of fulfilling the desires of Lord Kṛṣṇa. Therefore the Purāṇas call Her Rādhikā.
Purport
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.
— A.C. Bhaktivedanta Swami Prabhupāda
My note
Source: vedabase.io