Said the angel, “Satan is the root, his children are the branches. They are now consumed root and branch. They have died an everlasting death. They are never to have a resurrection, and God will have a clean universe.” I then looked and saw the fire which had consumed the wicked, burning up the rubbish and purifying the earth. Again I looked and saw the earth purified. There was not a single sign of the curse. The broken, uneven surface of the earth now looked like a level, extensive plain. God's entire universe was clean, and the great controversy was forever ended. Wherever we looked, everything upon which the eye rested was beautiful and holy. And all the redeemed host, old and young, great and small, cast their glittering crowns at the feet of their Redeemer, and prostrated themselves in adoration before Him, and worshiped Him that liveth forever and ever. The beautiful new earth, with all its glory, was the eternal inheritance of the saints. The kingdom and dominion, and the great…
"For, behold, the day cometh, that shall burn as an oven; and all the proud, yea, and all that do wickedly, shall be stubble: and the day that cometh shall burn them up, saith the Lord of hosts, that it shall leave them neither root nor branch."
The phrase "root and branch" is a direct quote from Malachi 4:1, and the context of both passages involves the destruction of the wicked by fire.