Ch 8 - Rational & Radical Functions
8.8 – Solving Radical Equations and
Inequalities
Do you know the meaning of these words or phrases?Radical equationRadical inequality
A radical equation contains a variable within a radical.Steps for Solving Radical
Equations1.Isolate the radical.2.Raise both sides of the equation to the power equal to the index of the radical.3.Simplify and solve.
Solve each equation.1615. xA 84757. 3 xB
Solve each equation.23327. xxC
Solve each equation.xxD 5333.
Use similar methods to solve equations containing rational exponents.
375. 31xA 2
1842. xxB
A radical inequality is an inequality that contains a variable within a radical.
.9362 xSolve
The important thing to now consider is that the radicand can never be negative. So, how can we let our answers show this?
