Chapter 9 - Roots and Radicals - 9.5 - Solving Radical Equations - Problem Set 9.5 - Page 424: 17

x=36

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 25x=900. We divide both sides of the equation by 25 to isolate x and obtain: x=36. We now must check our solution: $5\sqrt{36} = 30 \\\\\ 5(6)=30 \\\\ 30=30$ This is true, so x=36.