In plain words
There was no room for enmity to arise between them. Ubhayabhāratī sat between the two. Smiling, with her eyes closed, she was weighing everything. At last Ubhayabhāratī opened her eyes: ‘My husband Maṇḍanamiśra himself has lost; that is, he has met defeat. Śaṅkara is the victor,’ she declared. As she said this, Śaṅkara's heart swelled. ‘This woman, who has learned Satya, knows Ṛta. That is, she has made mind, word and body one. Ubhayabhāratī has shown the Satya that lies in oneness. So what this jewel among virtuous women, who knows Ṛta and Satya, has spoken is a fine judgement,’ he thought. On hearing Ubhayabhāratī's decision, Maṇḍanamiśra took up sannyāsa. He left his home. He went off to the forests.
Ubhayabhāratī saw this scene: ‘I am his ardhāṅgī, his wife in Dharma, the Lakṣmī of his home, the lady of his house. Ardhāṅgī means that only when he and I come together is there one form; of husband and wife, either one alone is only half! Only when my half is joined to him does he become whole. Śaṅkara! You have conquered my husband; but only when you conquer me too does my husband become entitled to take the order of sannyāsa,’ she said. Do you see! Śaṅkara defeated in debate even Maṇḍanamiśra, so great a scholar, but he could not defeat Ubhayabhāratī. Then he made a request of Ubhayabhāratī. ‘Mother! Forgive me; to debate with you I need a month's time,’ he said. Do you see! How highly learned were the women of those days? How strong? How intellectual? How wise? When she too had been defeated in this way, Ubhayabhāratī too took up sannyāsa. She built an āśrama of her own. She went on teaching the principle of the Ātma well to the women who joined it. Teaching them, she removed some of the weakness that was in women, shaped them into women of divine strength, and day by day built up their strength and ability.