Rational and Irrational Statements

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Between 2 irrational numbers there is an irrational number

Always True

Between 2 rational numbers there is an irrational number

Always True

Q+Irr=Irr

Always True

Q+Q=Q

Always True

If the area of a circle is rational then the circumference is rational

Never True

If the circumference of a circle is rational, then the area is rational

Never True

Q•Q=Irr

Never True

An expression containing both the square root of 6 and pi is irrational

Sometimes True

Circumference is Irr

Sometimes True

Diagonal of Square is Irr

Sometimes True

Irr+Irr=Irr

Sometimes True

Irr•Irr=Irr

Sometimes True

Q•Irr=Irr

Sometimes True


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