Is the Rosary Biblical?

Have you ever heard a non-Catholic comment that the rosary is not biblical? Have you ever told them they are mistaken on that idea? To pray the rosary is to pray the scriptures in a most beautiful way.
Hail Mary full of grace, The Lord is with thee! (Lk 1:28)
Blessed are thou among women and blessed is the fruit of thy womb Jesus. (Lk 1:42)
Holy Mary, Mother of God (Is.9:6) pray for us sinners, now and at the hour of our death. (Jn 5:6)

And Luke 2:35 shows how Mary will suffer with her Son our Savior.

The Joyful mysteries are the Annunciation (Luke 1:26-38), Mary's visitation to Elizabeth (Luke 1:39-56), the Nativity (Luke 2:1-20), the presentation of Jesus in the Temple (Luke 2:22-38), and the finding of Jesus in the Temple (Luke 2:41-52).
The Sorrowful mysteries are the agony in the garden of Gethsemane Luke 22:39-53), the scourging (John 19:1; Is. 53:5), the crowning with thorns (Mark 15:17-20), the way of the cross (Mark 15:20-22), and the Crucifixion (John 19:18-30).
The Glorious mysteries are found in the following scriptures: the Resurrection (John 20:1-29), the Ascension (Acts 1:6-12), the descent of the Holy Spirit (Acts 2:1-13), the Assumption of Mary (Rev. 12:12), and Mary's coronation in heaven (Rev. 12:1-2, 5).

The rosary is biblical and beautiful.