Śrīmad-Bhāgavatam 10.45.30-31
Blended reading (Sanskrit + English inline)
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sarva - vidyānām
—
of all branches of knowledge
Sarva-vidyā = every vidyā. The verse names Kṛṣṇa and Balarāma as the prabhavau (origin) of every vidyā (cf. BG 7.10, bījaṁ māṁ sarva-bhūtānām). Yet They pretend to study them — the paradox stated openly.
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gūhamānau
—
hiding
Present participle of √gūh — to conceal. Bhagavān deliberately covers His omniscience. Gauḍīyas note: His āvaraṇa-śakti and His vilāsa-śakti work together — He hides what He is so He can play what He plays.
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nara - īhitaiḥ
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by humanlike activities
Nara-īhita = human-action. Compound: human (nara) + endeavors (īhita). His behavior, not His being, is human. The phrase carries the whole Gauḍīya bhagavat-tattva: form supremely real, conduct supremely intimate.
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guru - kule
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in the school of the spiritual master
Guru-kula = guru's household. The classical Vedic learning institution where students lived with the teacher. Bhagavān endorses guru-kula-vāsa by personally undertaking it.
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sāndīpanim
—
(named) Sāndīpani
Proper name. Sāndīpani is preserved by tradition as the priestly teacher at Avantī. Gauḍīyas honor him as the one teacher in human history before whom Bhagavān visibly knelt — the supreme honor any guru can receive.
Krsna had knowledge not given by or dependent on others (na anya siddha). This however he covered up while he was acting as a normal human being. Therefore he went to the gurukula to acquire knowledge.
Though they were the origin of all knowledge, they desired to live in a gurukula. Mounting a chariot they went to Sāndīpani who was born in Kāśī.
Though they were masters of all knowledge they went to the gurukula to teach others. After that, or for that reason (atha), they desired to go the gurukula. At the time of the upanāyanam they did not have this desire since it would cause pain from separation and was of no particular use. They went to the guru’s āśrama by chariot. That is mentioned later. He was born in Kāśī. Thus he studied all scriptures there. Sandīpani means the son of he who reveals all knowledge. Avantīpura was situated between Mathurā and Dvārakā. Thus he chose that place.
The two omniscient Lords, sources of every vidyā, approach Sāndīpani Muni's gurukula as students the way the sun would knock on a lamp's door and ask to be lit. They hide their pre-existing knowledge under humanlike behavior so the world can see what student-bhāva looks like.
Across the Bhāgavatam, Bhagavān repeatedly conceals His full knowledge to teach by example. In SB 11.6-29 (the Uddhava-gītā), Kṛṣṇa speaks at length though He has nothing to learn. In SB 1.9, He stands silently before Bhīṣma to receive dharmic instruction. In the Bhagavad-gītā He frames Himself as a friend learning from a friend.
The deepest example, Gauḍīyas hold, is Caitanya Mahāprabhu Himself — Bhagavān taking the role of His own greatest devotee, learning Kṛṣṇa-tattva from Rāmānanda Rāya. Here at Sāndīpani's gurukula the principle is announced: pre-existing knowledge is concealed so the form of receiving knowledge can be honored.
My note
Source: vedabase.io