The material world is not false.
“The Absolute Truth possesses innumerable potencies (uru-śakti brahmaiva bhāti). Thus by the expansion of the Absolute Truth the gross and subtle features of the material world become manifest. As stated by Śrīla Śrīdhara Svāmī, kāryaṁ kāraṇād bhinnaṁ na bhavati: “The result is not different from its cause.” Therefore, since the Absolute is eternal existence, this material world, being the potency of the Absolute, must also be accepted as real, although the various manifestations of the material world are temporary and thus illusory. The material world should be understood to consist of the bewildering interactions of real elements. The material world is not false in the imaginary sense of the Buddhists and Māyāvādīs, who state that in fact the material world does not exist outside the mind of the observer. The material world, as the potency of the Absolute, has real existence. But the living entity becomes bewildered by the temporary manifestations, foolishly taking them to be permanent. Thus the material world functions as an illusory potency, causing the living entity to forget the spiritual world, wherein life is eternal, full of bliss and knowledge. Because the material world thus bewilders the conditioned soul, it is called illusory. When a magician performs his tricks onstage, that which the audience apparently sees is an illusion. But the magician actually exists, and the hat and rabbit exist, although the appearance of a rabbit coming out of a hat is an illusion. Similarly, when the living entity identifies himself as part and parcel of the material world, thinking, “I am American,” “I am Indian,” “I am Russian,” “I am black,” “I am white,” he is bewildered by the magic of the Lord’s illusory potency. The conditioned soul must come to understand, “I am a pure spirit soul, part and parcel of Kṛṣṇa. Now let me stop my useless activities and serve Kṛṣṇa, since I am part of Him.” Then he is free from the illusion of māyā. If one artificially tries to escape the clutches of the illusory energy by declaring that there is no illusory potency and that this world is false, he merely falls into another illusion created by māyā to keep him in ignorance. Kṛṣṇa states in Bhagavad-gītā (7.14):
daivī hy eṣā guṇamayī mama māyā duratyayā
mām eva ye prapadyante māyām etāṁ taranti te
Unless one surrenders at the lotus feet of Māyeśa, the Lord of the illusory potency, there is no possibility of escaping from illusion. Childishly declaring that there is no illusory potency is useless, since māyā is duratyayā, or insurpassable for the tiny living entity. But Lord Kṛṣṇa, the omnipotent Personality of Godhead, can immediately call off the illusory potency.”
Source: A.C. Bhaktivedanta Swami Prabhupada (2014 edition), “Srimad Bhagavatam”, Eleventh Canto, Chapter 03 – Text 37