Radical Review

• A
• B
• C
• D

• 2ab²√5

• 4ab²√5

• 5ab²√2

• 2a²b²√5

• 3n√5n

• 4n√8

• 4n√-8

• 10√n

• 50

• 2√5

• 5√2

• 5√10

√5 × √10

• 50

• 2√5

• 5√2

• 5√10

Perform the operation.  Express your answer in simplest form.

• 54√14 - 12√33

• 18√14 - 6√33

• -3√6

• 3√14 - 2√33

• 6m²

• 36

• 6

• 

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.

• Sometimes rational, sometimes irrational; The product of two irrationals is sometimes rational, sometimes irrational

• it is the sum of two rational numbers.

• it is the sum of two irrational numbers.

• it represents a non-terminating, non-repeating decimal.

• its terms cannot be combined.

Is the result rational or irrational? Explain.

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

• Sometimes rational, sometimes irrational; The sum of two irrationals is sometimes rational, sometimes irrational.

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

• Sometimes rational, sometimes irrational; The product of two irrationals is sometimes rational, sometimes irrational