Cubic and Other Radicals

Q1. What is the value of the expression?

• 8√6

• 8√12

• 12√6

• 12√12

Simplify the radical...

√20a²b⁴

• 2ab²√5

• 4ab²√5

• 5ab²√2

• 2a²b²√5

• A
• B
• C
• D

Solve the radical equation and check for extraneous solutions:

• A

• B

• C

• D

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

• x = -6

• x = 3

• x = 7/3

• x = -5

Is the result rational or irrational? Explain.

• Rational; The sum of two rationals is always rational.

• Irrational; The sum of a rational and an irrational is always irrational.

• Rational; The product of two rationals is always rational.

• Irrational; The product of a nonzero rational and an irrational is always irrational.

Is the result rational or irrational? Explain.

• Rational; The sum of two rationals is always rational.

• Irrational; The sum of a rational and an irrational is always irrational.

• Rational; The product of two rationals is always rational.

• Irrational; The product of a nonzero rational and an irrational is always irrational.

• A
• B
• C
• D

Simplify

• A

• B

• C

• D

Q1. What is the value of the expression?

• 13√3

• 10√30

• 13√6

• 11√3