1/7 Radical Expressions/Equations/Inequalities

Front

Define a radical expression.

Back

Front

What is the principal square root of a number?

Back

The principal square root of a number is the non-negative root of that number. For example, the principal square root of 9 is 3.

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Back

x = 54.

Front

What does it mean for a solution to be extraneous?

Back

An extraneous solution is a solution that emerges from the process of solving an equation but does not satisfy the original equation.

Front

Back

x = 10, x = 5 is extraneous.

Front

Back

14.

Front

What is the first step in solving a radical equation?

Back

Isolate the radical on one side of the equation.

Front

Back

x = 9.

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Back

Front

What is the domain of a radical function?

Back

The domain of a radical function is the set of all input values (x) for which the expression under the radical is non-negative.