# Solving Radical Equations

There are many videos on Khan Academy on this topic.  You can find an expanded list here.

The videos assigned for class are below.

1.  $\rhd$ Intro to square-root equations and extraneous solutions (11:09)   Solve $\sqrt{x} = 2x-6$.
2. $\rhd$ Solving square root equations: one solution (3:10) Solve $3 + \sqrt{5x+6} = 12$.
3. $\rhd$ Solving square root equations: two solutions (5:28) Solve $6+3w = \sqrt{2w+12} +2w$.
4. $\rhd$ Solving square root equations: no solutions (3:58) Solve $\sqrt{3x-7} + \sqrt{2x-1} = 0$.
5.  $\rhd$ Extraneous solutions of radical equations (4:56) Find which values of $d$ make $x = -3$ an extraneous solution for the equation $\sqrt{3x+25} = d + 2x$.
6. $\rhd$ Solving cube root equations (3:34) Solve for $y$ given $-\sqrt[3]{y} = 4\sqrt[3]{y} + 5$
7.   $\rhd$ Domain of a radical equation (1:48) Find the domain of $f(x) = \sqrt{2x-8}$