Radical Operations Gifted

Simplify the following radical: √32

• 3√2

• 4√8

• 16√2

• 4√2

√72

• 7√9

• 4√6

• 6√2

• 3√4

√45

• 3√5

• 5√3

• 9√5

• 5√9

Simplify the following radical: 2√24

• 4√6

• 2√6

• 24√2

• 4√4

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

• A
• B
• C
• D

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.

5√80

• 20√5

• 4√5

• 5√20

• 4√5

Simplify

• A

• B

• C

• D

Q1. What is the value of the expression?

• A) 11√5

• B) 11√10

• C) 5√5

• D) 12√10