Solving Radical Equations

Front

What is a radical equation?

Back

An equation that involves a variable within a radical (square root, cube root, etc.).

Front

How do you isolate a radical in an equation?

Back

To isolate a radical, rearrange the equation to get the radical on one side and all other terms on the other side.

Front

What is the first step in solving a radical equation?

Back

Square both sides of the equation to eliminate the radical.

Front

Why is it important to check your solutions in radical equations?

Back

Squaring both sides can introduce extraneous solutions that do not satisfy the original equation.

Front

What does it mean if a radical equation has 'No Solution'?

Back

It means that there are no values for the variable that satisfy the equation.

Front

Solve: √(a) = 6. What is 'a'?

Back

a = 36.

Front

Solve: √(v) = 9. What is 'v'?

Back

v = 81.

Front

Solve: √(x + 5) = 3. What is 'x'?

Back

x = 4.

Front

Solve: √(x - 1) = 5. What is 'x'?

Back

x = 26.

Front

What is an extraneous solution?

Back

A solution that emerges from the process of solving the equation but does not satisfy the original equation.