### Home > APCALC > Chapter 10 > Lesson 10.2.1 > Problem10-108

10-108.

Review Ying’s technique for manipulating infinite expressions in problem 9-45. Then, use this strategy to evaluate the infinite “nested radical”$\sqrt { 3 + \sqrt { 3 + \sqrt { 3 + \ldots } } }$ Homework Help ✎

$\text{Let }S=\sqrt{3+\sqrt{3+...}}$

$S=\sqrt{3+S}$

$S^2=3+S$

Now solve for $S$ using the Quadratic Formula.