Introduction to Radicals (Review of Vocabulary)

If you square both sides of a radical equation and obtain a solution that does not satisfy the original equation, you have found what?

• nth root
• extraneous solution
• radical equation 
• identity function

√3x + 5 < 0 and √2x - 1 > 0 are what?

• radical expressions
• inverse functions
• identity functions
• radical inequalities

The positive number square root.

• nth root
• principal root
• radical function
• index

Equations with radicals that have variables in the radicand are called what?

• radical equations
• composition of function
• radical expressions
• radical inequalities

One of the steps that may be necessary to simplify the radical expression is what?

• inverse function
• radical equation
• composition of function
• rationalizing the denominator

The number under the radical symbol is called what?

• radical
• square root
• radicand
• index

Irrational Numbers (I)

• Decimals that never end and have no repeating pattern.

• All fractions and decimals that end or have a repeated pattern.

• Non-decimal numbers that are positive and negative, including zero.

• Non-decimal numbers that are greater than or equal to zero.

• Non-decimal numbers that are greater than zero.

Rational Numbers (Q)

• Decimals that never end and have no repeating pattern.

• All fractions and decimals that end or have a repeated pattern.

• Non-decimal numbers that are positive and negative, including zero.

• Non-decimal numbers that are greater than or equal to zero.

• Non-decimal numbers that are greater than zero.

Integers (Z)

• Decimals that never end and have no repeating pattern.

• All fractions and decimals that end or have a repeated pattern.

• Non-decimal numbers that are positive and negative, including zero.

• Non-decimal numbers that are greater than or equal to zero.

• Non-decimal numbers that are greater than zero.

Whole (W)

• Decimals that never end and have no repeating pattern.

• All fractions and decimals that end or have a repeated pattern.

• Non-decimal numbers that are positive and negative, including zero.

• Non-decimal numbers that are greater than or equal to zero.

• Non-decimal numbers that are greater than zero.