Algebra 2_Unit 2 Topic 1_SLT 3 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, 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

Solve the resulting equation for the variable.

Front

What is a common mistake when solving radical equations?

Back

Forgetting to check for extraneous solutions after solving.

Front

How do you check if a solution is extraneous?

Back

Substitute the solution back into the original equation to see if it holds true.

Front

What is the principle of squaring both sides of an equation?

Back

If a = b, then a² = b², but this can introduce extraneous solutions.

Front

What does it mean to simplify a radical?

Back

To express the radical in its simplest form, removing any perfect squares from under the radical.

Front

What is the square root of 25?

Back

5.

Front

If √x = 7, what is x?

Back

x = 49.