Rational and Irrational Numbers Worksheet

Which of the following will result in a rational number? Select all that apply.

Determine if the statement is sometimes true, always true, or never true. The product of two irrational numbers is rational. Justify your answer on the worksheet provided.

• sometimes true

• always true

• never true

Determine if the statement is sometimes true, always true, or never true.

the product of a rational number and an irrational number is rational.

Justify your answer on the worksheet provided.

• sometimes true

• always true

• never true

Determine if the statement is sometimes true, always true, or never true.

The sum of two irrational numbers is irrational.

Justify your answer on the worksheet provided.

• sometimes true

• always true

• never true

Fully simplify....

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A terminating decimal is

• rational.

• irrational.

The square root of a perfect square is

• irrational.

• rational.

• rational

• irrational

• rational

• irrational

• rational

• irrational