Solving Radical Equations

Front

What is a radical equation?

Back

An equation that contains 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, you can move all other terms to the opposite side of the equation.

Front

What is the first step in solving a radical equation?

Back

Square both sides of the equation to eliminate the radical.

Front

What should you do after squaring both sides of a radical equation?

Back

Simplify the equation and solve for the variable.

Front

What is a common mistake when solving radical equations?

Back

Forgetting to check for extraneous solutions after solving.

Front

What is the domain of a square root function?

Back

The domain is all real numbers x such that the expression under the square root is non-negative.

Front

How do you find the domain of a radical equation?

Back

Set the expression inside the radical greater than or equal to zero and solve for x.

Front

What is an extraneous solution?

Back

A solution that does not satisfy the original equation after checking.

Front

What is the parent function of a square root function?

Back

f(x) = √x.

Front

How do you graph a square root function?

Back

Start at the vertex (0,0) and plot points by choosing x-values and calculating corresponding y-values.