Solving Radical Equations

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Presentation transcript:

Solving Radical Equations

Steps to Solve Isolate the radical on one side by moving other terms; if there are two radicals, isolate one radical. Raise both sides of the equation to the power that cancels the radical. Solve the remaining equation.

Important!! Remember - what you do to one side of the equation, you MUST do to the other side (or else it will get jealous). Remember - you MUST check your answers!!

Radical Equations Solve: Move the 8: Square both sides:

Radical Equations Check your solution: √

Radical Equations Solve:

Radical Equations Move the 6: Cube both sides: Solve:

Radical Equations Check: √

Radical Equations This is also a radical equation: You may want to rewrite the equation with a radical instead of a rational power:

Radical Equations Solve:

Radical Equations And Check: This does not check - there is no solution!

Radical Equations This equation has two radicals: Isolate ONE radical: Square both sides [you NEED the ( ) ]:

Radical Equations You must FOIL the binomial: There is still a radical to be isolated:

Radical Equations Solve the remaining radical equation: And check: √