Can an attached Householder achieve the same Goal as a Sannyasi? (Q&A)

Answer

Yes

Evidence

Narada said to Mahārāja Yudhiṣṭhira in SB 7.15.74:

The process of chanting the holy name of the Lord is so powerful that by this chanting even householders [gṛhasthas] can very easily gain the ultimate result achieved by persons in the renounced order. Mahārāja Yudhiṣṭhira, I have now explained to you that process of religion.

Sanskrit

dharmas te gṛha-medhīyo
varṇitaḥ pāpa-nāśanaḥ
gṛhastho yena padavīm
añjasā nyāsinām iyāt

dharmaḥ—that religious process; te—to you; gṛha–medhīyaḥ—although attached to household life; varṇitaḥ—explained (by me); pāpa–nāśanaḥ—the destruction of sinful reactions; gṛhasthaḥ—a person in household life; yena—by which; padavīm—the position; añjasā—very easily; nyāsinām—of those in the renounced order of life; iyāt—can obtain.

Purport

This is a confirmation of the Kṛṣṇa consciousness movement. Anyone who takes part in this movement, regardless of what he is, can gain the topmost result achieved by a perfect sannyāsī, namely brahma jñāna (spiritual knowledge). Even more important, he can advance in devotional service. Mahārāja Yudhiṣṭhira thought that because he was a gṛhastha there was no hope of his being liberated, and therefore he asked Nārada Muni how he could get out of material entanglement. But Nārada Muni, citing a practical example from his own life, established that by associating with devotees and chanting the Hare Kṛṣṇa mantra, any man in any condition of life can achieve the highest perfection without a doubt. 

Link to this page: https://prabhupadabooks.com/sb/7/15/74

Observations

• Grihamedhi (attached householder) is not mentioned in translation
• chanting the holy name of the Lord, is not mentioned in sanskrit verse
• previous verse speaks of “engaged in the service of Vaiṣṇavas”.
• destruction of sin is mentioned in verse, not brahma jñāna.
• brahma jñāna (spiritual knowledge) = knowledge of Brahman

References

•  gṛha-medha—in married life    SB 3.21.15
•   gṛha-medhaḥ—attached to family life    SB 2.6.20
•   gṛha-medhī—a person interested only in family life    SB 7.14.10
•   gṛha-medhīya—of household life    SB 7.5.54
•   gṛha-medhīyam—of household responsibilities    SB 4.28.20
•   gṛha-medhīyam—especially of persons situated in household life    SB 9.10.54
•   gṛha-medhīyaḥ—although attached to household life    SB 7.15.74
•   gṛha-medhīyān—of the householders    SB 3.32.1
•   gṛha-medhi-saukhyam—happiness within this material world    SB 5.11.3
•   gṛha-medhinaḥ—persons living at home    SB 4.13.43
•   gṛha-medhinaḥ—persons who are attached to family life    SB 4.22.10
•   gṛha-medhinīm—one who keeps her husband in material life.    SB 4.26.13
•   gṛha-medhini—O my wife, who are attached to household life    SB 8.16.5
•   gṛha-medhiṣu—in the household    SB 3.22.11
•   gṛha-medhinām—of persons too materially engrossed.    SB 2.1.2
•   gṛha-medhinām—of the materialistic householders.    SB 3.32.4
•   gṛha-medhinām—although situated with a wife and children    SB 6.5.42
•   gṛha-medhinām—who are interested in householder life.    SB 7.5.51

• anjasā—easily    SB 3.16.19, SB 4.9.11, SB 4.12.37, SB 4.22.25, SB 4.31.7, SB 7.14.1, SB 7.15.25
•   anjasā—very easily    SB 4.16.8, SB 4.18.4, SB 6.7.32, SB 6.8.35, SB 7.9.19, SB 7.15.74, SB 10.8.26
•   anjasā—completely.    SB 2.9.1, SB 3.12.19, SB 4.30.32, SB 5.24.20
•   anjasā—quickly    SB 3.5.46, SB 4.3.21, SB 5.1.6, SB 7.7.29

• padavīm—the path    SB 3.24.34, SB 3.27.3, SB 5.9.13, Madhya 2.36
•   padavīm—position    SB 5.1.5, SB 5.1.38, SB 8.6.20
•   padavīm—glories    SB 1.3.38, SB 3.1.42
•   padavīm—situation    SB 3.13.28, SB 4.23.31
•   padavīm—the position    SB 7.14.14, SB 7.15.74
•   padavīm—abode    SB 3.32.43
•   padavīm—path    SB 4.8.31
•   padavīm—any trace    SB 4.13.49
•   padavīm—position of liberation    SB 7.14.1
•   padavīm—the place    SB 8.12.31
•   padavīm—to the site    Antya 4.64