Rational Exponents and Radical equations

Front

Define rational exponents.

Back

Front

What is the relationship between rational exponents and radicals?

Back

Front

Back

x = 81.

Front

What is the principal square root?

Back

The principal square root of a number is the non-negative root. For example, the principal square root of 16 is 4.

Front

Back

x = 22.

Front

What is the first step in solving a radical equation?

Back

Isolate the radical on one side of the equation.

Front

Back

x = 14.

Front

What happens when you square both sides of a radical equation?

Back

Squaring both sides eliminates the radical, but it may introduce extraneous solutions.

Front

Back

x = 5.

Front

What is an extraneous solution?

Back

An extraneous solution is a solution that does not satisfy the original equation.