Operations with Rational and Irrational Numbers

Sometimes a rational number

Always an irrational number

Always a rational number

Sometimes an irrational number

Addition

Subtraction

Multiplication

None of the above

4/3

1/3

5/3

2/3

Usually results in an irrational number

Always results in a rational number

Usually results in a rational number

Always results in an irrational number

2

√2

4

8

4

8

√16

2√16

Never rational

Always rational

Always irrational

Sometimes rational

3√5

0

6√5

3√10

8

10

4√7

4√10

Rational operations are unpredictable

Irrational operations always result in rational numbers

Rational operations always result in rational numbers

Irrational operations are always predictable