Irrational, Rational, and Roots

• rational

• irrational

• irrational

• rational

• integer

• whole number

• natural number

• irrational

• rational

• integer

• whole number

• natural number

6.313131313

• irrational

• rational

• integer

• whole number

• natural number

Square roots of perfect squares are always _____ numbers.

• irrational

• rational

Square roots of non - perfect squares are always _____ numbers.

• irrational

• rational

Rational numbers include any number that can be written as a ratio (or _______).

• fraction

• square root

• real number

Repeating decimals are _____ numbers.

• irrational

• rational

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.

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.