What Bhagavan teaches us through silence is exactly the same as what he teaches us by words, but the effect of his silent teachings is much deeper and more powerful.
[...] Bhagavan’s teaching is silence, which is the highest teaching of all. That is true, because silence is our real nature, and our real nature cannot be revealed by anything other than itself. Whatever teachings he gave us in words were only to point us in the correct direction, namely within, because only when we turn within and thereby merge back into the source from which we rose as ego will we experience true silence.
Ego is the very antithesis of silence, so we can benefit from his silent teaching only to the extent that we are willing to surrender ourself to him. The more ego subsides, the more we will be guided by his silence.
What he teaches us through silence is what Arunachala taught him through silence, and he puts that into words beautifully and clearly in verse 44 of Śrī Aruṇācala Akṣaramaṇamālai:
Arunachala, what a wonder! You said: ‘Turning back inside, see yourself daily with the inner eye [or an inward look]; it [the reality that always shines as ‘I alone am I’] will be known’.
Therefore what he teaches us through silence is exactly the same as what he teaches us by words, but the effect of his silent teachings is much deeper and more powerful. Therefore to avail of the benefit of his teaching through silence, all we need do is to follow what he taught us in words, namely to turn within to see ourself and thereby to surrender ourself wholeheartedly to him, as he implied we must do in the final sentence of the twelfth paragraph of Nāṉ Ār? - Who am I?:
‘however, it is necessary to walk unfailingly in accordance with the path that guru has shown’.
Extract from: ~ Michael James - Happinness of Being - Self-investigation is the only means by which we can surrender ourself entirely and thereby eradicate ego - §5: Silence
Image source: Arunachala Vedas