The Ultimate Sums & Products of Rational/Irrational Numbers

Identify which statement is false.

• The product of two rational numbers is rational.

• The sum of a rational number and an irrational number is irrational.

• The sum of a rational number and an irrational number is rational.

• The product of a nonzero rational number and an irrational number is irrational.

• irrational
• integer
• natural
• rational

The sum of which two numbers would be rational?

When a rational number is multiplied by an irrational number, the product will be a(n) ​ (a)   .

• irrational number
• rational number
• integer
• whole number

Which expressions would result in an irrational solution?