Simplifying Radicals & Rational/Irrational Numbers

A rational number

• is a number that can be written as a fraction.

• is always positive.

• can be a repeating decimal.

• is a fraction but not a decimal.

A terminating decimal is

• rational.

• irrational.

The square root of a perfect square is

• irrational.

• rational.

Identify the rational numbers.

• 0

• rational

• irrational

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.

• A
• B
• C
• D