Computation With Radicals

Q1. What is the value of the expression?

• A) 8√6

• B) 8√12

• C) 12√6

• D) 12√12

Simplify the radical...

√20a²b⁴

• 2ab²√5

• 4ab²√5

• 5ab²√2

• 2a²b²√5

• A
• B
• C
• D

Solve

• d = 12

• d = -3 or d = 4

• d = -3

• d = 4

• x = -6
• x = 3
• x = -3
• x = 5±

• x = 49
• x = 53
• x = 45
• x = 18

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

• x = -6

• x = 3

• x = 7/3

• x = -5

Perform the operation.  Express your answer in simplest form.

• 54√14 - 12√33

• 18√14 - 6√33

• -3√6

• 3√14 - 2√33

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.

Question 8

• -6

• -3

• 6

• 15