Chapter 9 - Roots and Radicals - 9.5 - Solving Radical Equations - Problem Set 9.5 - Page 424: 9

x=4/9

Recall, in order to cancel out a square root, we square both sides of the equation. Thus, we square both sides of the equation to obtain that 9x=4. We divide both sides of the equation by 9 to isolate x and obtain: x=4/9. We now must check our solution: $3$$\sqrt{4/9} = 2 \\\\\ 3(2/3)=2 \\\\ 2=2$ This is true, so x=4/9