Equations, Inequalities, and Applications Involving Root Functions

Video Summary:

Power Property
If P and Q are algebraic expressions, then every solution of the equation P = Q is also a solution of the equation Pn = Qn, for any positive integer n. Note: This property does not say that the two
equations are equivalent. The new equation may
have more solutions than the original.
Solving an Equation Involving a Root Function
Isolate a term involving a root on one side of the equation.
Raise both sides of the equation to a power that will eliminate the radical or rational exponent.
Solve the resulting equation. (If a root is still present after Step 2, repeat Steps 1 and 2.)
Check each proposed solution in the original equation.