Solving Radical Equations Level 1

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 variable in a radical equation?

Back

Square both sides of the equation to eliminate the radical, then solve for the variable.

Front

What is the first step in solving the equation √(v) = 14?

Back

Square both sides to get v = 14^2.

Front

What is the solution to the equation √(v) = 14?

Back

v = 196.

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

How do you check if your solution to a radical equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the solution to the equation √(v - 4) = 6?

Back

v = 40.

Front

What is the importance of squaring both sides of a radical equation?

Back

It helps to eliminate the radical, making the equation easier to solve.

Front

What is the solution to the equation √(2v + 8) = 10?

Back

v = 21.

Front

What happens if you square both sides of an equation incorrectly?

Back

You may introduce extraneous solutions that do not satisfy the original equation.