Radical Expressions Honors Algebra II

Explain why the radical expression is or is NOT in simplified form?

• The expression is simplified because the radicand contains no fractions

• The expression is simplified because the radicand has no​ perfect-square factors other than 1.

• The expression is not in simplified form because a radical appears in the denominator of a fraction.

• The expression is not simplified because it contains a fraction.

Simplify:

• A

• B

• C

• D

Read the question carefully and choose the correct answer.

• A

• B

• C

• D

• 
• 
• 
• 

Solve for x; identify extraneous solutions (if any).

• x = 17

• x = 5

• x = 3

• no solution; x = 5 is extraneous

• x = 12
• x = 24
• x = 144
• x = 121

Solve the equation.

• A

• B

• C

• D

What type of expression is indicated by the symbol √?

• Polynomial Expression

• Rational Expression

• Radical Expression

• Linear Expression

Solve the radical equation. Don't forget to check your answers!

• x = -6

• x = 3

• x = 7/3

• x = -5

Rewrite the following with a rational exponent.

∛x⁵

• x^3/5

• x^5/3

• x²

• x³⋅x⁵