Chapter 10 - Radical Functions and Equations - 10.3 - Solving Radical Equations - Exercises - Page 565: 54

$n=12$

$$\sqrt{3n}-11=-5$$ $$\sqrt{3n}=11-5$$ $$\sqrt{3n}=6$$ $$3n=36$$ $$n=36:3=12$$ Chick the solution: $$\sqrt{3\cdot12}-11\stackrel{?}{=}-5$$ $$\sqrt{36}-11\stackrel{?}{=}-5$$ $$6-11\stackrel{?}{=}-5$$ $$-5=-5\checkmark$$